8-2(-4n-4)=9(5n+1)-7

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Solution for 8-2(-4n-4)=9(5n+1)-7 equation: 


Simplifying
8 + -2(-4n + -4) = 9(5n + 1) + -7

Reorder the terms:
8 + -2(-4 + -4n) = 9(5n + 1) + -7
8 + (-4 * -2 + -4n * -2) = 9(5n + 1) + -7
8 + (8 + 8n) = 9(5n + 1) + -7

Combine like terms: 8 + 8 = 16
16 + 8n = 9(5n + 1) + -7

Reorder the terms:
16 + 8n = 9(1 + 5n) + -7
16 + 8n = (1 * 9 + 5n * 9) + -7
16 + 8n = (9 + 45n) + -7

Reorder the terms:
16 + 8n = 9 + -7 + 45n

Combine like terms: 9 + -7 = 2
16 + 8n = 2 + 45n

Solving
16 + 8n = 2 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
16 + 8n + -45n = 2 + 45n + -45n

Combine like terms: 8n + -45n = -37n
16 + -37n = 2 + 45n + -45n

Combine like terms: 45n + -45n = 0
16 + -37n = 2 + 0
16 + -37n = 2

Add '-16' to each side of the equation.
16 + -16 + -37n = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -37n = 2 + -16
-37n = 2 + -16

Combine like terms: 2 + -16 = -14
-37n = -14

Divide each side by '-37'.
n = 0.3783783784

Simplifying
n = 0.3783783784

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