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

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


Simplifying
-4 + 8(-2 + -1n) = -7(2n + -4)
-4 + (-2 * 8 + -1n * 8) = -7(2n + -4)
-4 + (-16 + -8n) = -7(2n + -4)

Combine like terms: -4 + -16 = -20
-20 + -8n = -7(2n + -4)

Reorder the terms:
-20 + -8n = -7(-4 + 2n)
-20 + -8n = (-4 * -7 + 2n * -7)
-20 + -8n = (28 + -14n)

Solving
-20 + -8n = 28 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
-20 + -8n + 14n = 28 + -14n + 14n

Combine like terms: -8n + 14n = 6n
-20 + 6n = 28 + -14n + 14n

Combine like terms: -14n + 14n = 0
-20 + 6n = 28 + 0
-20 + 6n = 28

Add '20' to each side of the equation.
-20 + 20 + 6n = 28 + 20

Combine like terms: -20 + 20 = 0
0 + 6n = 28 + 20
6n = 28 + 20

Combine like terms: 28 + 20 = 48
6n = 48

Divide each side by '6'.
n = 8

Simplifying
n = 8

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