-7(n+6)=-8(n+2)

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Solution for -7(n+6)=-8(n+2) equation:


Simplifying
-7(n + 6) = -8(n + 2)

Reorder the terms:
-7(6 + n) = -8(n + 2)
(6 * -7 + n * -7) = -8(n + 2)
(-42 + -7n) = -8(n + 2)

Reorder the terms:
-42 + -7n = -8(2 + n)
-42 + -7n = (2 * -8 + n * -8)
-42 + -7n = (-16 + -8n)

Solving
-42 + -7n = -16 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-42 + -7n + 8n = -16 + -8n + 8n

Combine like terms: -7n + 8n = 1n
-42 + 1n = -16 + -8n + 8n

Combine like terms: -8n + 8n = 0
-42 + 1n = -16 + 0
-42 + 1n = -16

Add '42' to each side of the equation.
-42 + 42 + 1n = -16 + 42

Combine like terms: -42 + 42 = 0
0 + 1n = -16 + 42
1n = -16 + 42

Combine like terms: -16 + 42 = 26
1n = 26

Divide each side by '1'.
n = 26

Simplifying
n = 26

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