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. Calculation: -2 * -5n = 10n and -2 * 6 = -12. So, -2(-5n+6) becomes 10n - 12.Distribute 5 across terms: Distribute the 5 across the terms inside the second parentheses. Calculation: 5 * 2 = 10 and 5 * -7n = -35n. So, 5(2-7n) becomes 10 - 35n.Combine Step 1 and Step 2: Combine the results from Step 1 and Step 2. Calculation: (10n - 12) + (10 - 35n).Combine like terms: Combine like terms. Calculation: 10n - 35n = -25n and -12 + 10 = -2. So, the expression simplifies to -25n - 2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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) $-25n-2$

View step-by-step help

Home

Math Problems

Algebra 1

Domain and range of relations

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