7(2+4n)+7(-8n-7)=21

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Solution for 7(2+4n)+7(-8n-7)=21 equation:


Simplifying
7(2 + 4n) + 7(-8n + -7) = 21
(2 * 7 + 4n * 7) + 7(-8n + -7) = 21
(14 + 28n) + 7(-8n + -7) = 21

Reorder the terms:
14 + 28n + 7(-7 + -8n) = 21
14 + 28n + (-7 * 7 + -8n * 7) = 21
14 + 28n + (-49 + -56n) = 21

Reorder the terms:
14 + -49 + 28n + -56n = 21

Combine like terms: 14 + -49 = -35
-35 + 28n + -56n = 21

Combine like terms: 28n + -56n = -28n
-35 + -28n = 21

Solving
-35 + -28n = 21

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '35' to each side of the equation.
-35 + 35 + -28n = 21 + 35

Combine like terms: -35 + 35 = 0
0 + -28n = 21 + 35
-28n = 21 + 35

Combine like terms: 21 + 35 = 56
-28n = 56

Divide each side by '-28'.
n = -2

Simplifying
n = -2

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