Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
$$
-\frac{2}{3} p+\frac{1}{5}-1+\frac{5}{6} p
$$

Question

Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
$$
-\frac{2}{3} p+\frac{1}{5}-1+\frac{5}{6} p
$$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Combine the terms with the variable $p$. ‖ ‖ step 2 ⋮ $-2/3 p + 5/6 p = -4/6 p + 5/6 p = 1/6 p$ ‖ ‖ step 3 ⋮ Combine the constant terms $1/5$ and $-1$. ‖ ‖ step 4 ⋮ $1/5 - 1 = 1/5 - 5/5 = -4/5$ ‖ ‖ step 5 ⋮ Write the equivalent expression by combining the results from steps 2 and 4. ‖ ‖ step 6 ⋮ The equivalent expression is $1/6 p - 4/5$. ‖ ‖ step 7 ⋮ To express the coefficient of $p$ as a single fraction, find a common denominator. ‖ ‖ step 8 ⋮ The common denominator for $1/6$ and $-4/5$ is $30$. ‖ ‖ step 9 ⋮ Multiply each term by $30/30$ to express the coefficients as a single fraction. ‖ ‖ step 10 ⋮ $1/6 p \cdot 30/30 - 4/5 \cdot 30/30 = 5/30 p - 24/30$ ‖ ‖ step 11 ⋮ Simplify the expression to $1/30 (5 p - 24)$. ‖ ‖ step 12 ⋮ To solve for $p$, set the expression equal to zero. ‖ ‖ step 13 ⋮ $1/30 (5 p - 24) = 0$ ‖ ‖ step 14 ⋮ Multiply both sides by $30$ to eliminate the fraction. ‖ ‖ step 15 ⋮ $5 p - 24 = 0$ ‖ ‖ step 16 ⋮ Add $24$ to both sides to isolate the term with $p$. ‖ ‖ step 17 ⋮ $5 p = 24$ ‖ ‖ step 18 ⋮ Divide both sides by $5$ to solve for $p$. ‖ ‖ step 19 ⋮ $p = 24/5$ ‖ ∻Answer∻ ⚹ $p = 24/5$ ⚹ ∻Key Concept∻ ⚹Combining like terms and solving for a variable⚹ ∻Explanation∻ ⚹The expression was simplified by combining like terms, which are terms that contain the same variable to the same power. After combining like terms, the expression was set to zero to solve for the variable $p$.⚹◊What is the simplified form of the expression $-\frac{2}{3} p + \frac{1}{5} - 1 + \frac{5}{6} p$ after combining like terms?⍭ Generate me a similar question◊

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