Simplify to create an equivalent expression. -2(-5n+6)+5(2-7n) Choose 1 answer: (A) -2 (B) -25 n+10 (C) -25 n+2 (D) -25 n-2

Distribute -2 across terms: Distribute the -2 across the terms inside the first parentheses. -2(-5n+6) = (-2 * -5n) + (-2 * 6) = 10n - 12Distribute 5 across terms: Distribute the 5 across the terms inside the second parentheses. 5(2-7n) = (5 * 2) - (5 * 7n) = 10 - 35nCombine results from Step 1 and Step 2: Combine the results from Step 1 and Step 2. (10n - 12) + (10 - 35n) = 10n - 12 + 10 - 35nGroup like terms and combine: Group like terms and combine them. 10n - 35n = -25n -12 + 10 = -2 So, the expression becomes -25n - 2

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Simplify to create an equivalent expression.

-2(-5n+6)+5(2-7n)
Choose 1 answer:
(A) -2
(B)
-25 n+10
(C)
-25 n+2
(D)
-25 n-2

Simplify to create an equivalent expression. $\newline$ $-2(-5n+6)+5(2-7n)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-2$ $\newline$ (B) $-25n+10$ $\newline$ (C) $-25n+2$ $\newline$ (D) $-25n-2$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

-2(-5n+6)+5(2-7n)

\newline

Choose

1

answer:

\newline

(A)

-2

\newline

(B)

-25n+10

\newline

(C)

-25n+2

\newline

(D)

-25n-2

Distribute $-2$ across terms: Distribute the $-2$ across the terms inside the first parentheses. $\newline$ $-2(-5n+6) = (-2 \cdot -5n) + (-2 \cdot 6)$ $\newline$ $= 10n - 12$
Distribute $5$ across terms: Distribute the $5$ across the terms inside the second parentheses. $5(2-7n) = (5 \times 2) - (5 \times 7n)$ $= 10 - 35n$
Combine results from Step $1$ and Step $2$ : Combine the results from Step $1$ and Step $2$ . $\newline$ $(10n - 12) + (10 - 35n)$ $\newline$ $= 10n - 12 + 10 - 35n$
Group like terms and combine: Group like terms and combine them. $\newline$ $10n - 35n = -25n$ $\newline$ $-12 + 10 = -2$ $\newline$ So, the expression becomes $-25n - 2$