Rewrite in simplest terms: -3(8p-q)+8q-2(6q-7p) Answer:

Distribute -3: Distribute -3 to the terms inside the first parentheses. -3 * 8p = -24p -3 * (-q) = 3q So, -3(8p-q) becomes -24p + 3qDistribute -2: Distribute -2 to the terms inside the second parentheses. -2 * 6q = -12q -2 * (-7p) = 14p So, -2(6q-7p) becomes -12q + 14pCombine like terms: Combine like terms from the distributed expressions. -24p (from the first distribution) and +14p (from the second distribution) combine to -10p. 3q (from the first distribution), +8q, and -12q (from the second distribution) combine to -1q. So, the expression becomes -10p - 1q or -10p - q.

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Rewrite in simplest terms:
-3(8p-q)+8q-2(6q-7p)
Answer:

Rewrite in simplest terms: $-3(8 p-q)+8 q-2(6 q-7 p)$ $\newline$ Answer:

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Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. Rewrite in simplest terms:

-3(8 p-q)+8 q-2(6 q-7 p)

\newline

Answer:

Distribute $-3$ : Distribute $-3$ to the terms inside the first parentheses. $\newline$ $-3 \times 8p = -24p$ $\newline$ $-3 \times (-q) = 3q$ $\newline$ So, $-3(8p-q)$ becomes $-24p + 3q$
Distribute $-2$ : Distribute $-2$ to the terms inside the second parentheses. $\newline$ $-2 \times 6q = -12q$ $\newline$ $-2 \times (-7p) = 14p$ $\newline$ So, $-2(6q-7p)$ becomes $-12q + 14p$
Combine like terms: Combine like terms from the distributed expressions. $\newline$ $-24p$ (from the first distribution) and $+14p$ (from the second distribution) combine to $-10p$ . $\newline$ $3q$ (from the first distribution), $+8q$ , and $-12q$ (from the second distribution) combine to $-1q$ . $\newline$ So, the expression becomes $-10p - 1q$ or $-10p - q$ .