6+(-n+9)=-4(7n-8)-7

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Solution for 6+(-n+9)=-4(7n-8)-7 equation: 


Simplifying
6 + (-1n + 9) = -4(7n + -8) + -7

Reorder the terms:
6 + (9 + -1n) = -4(7n + -8) + -7

Remove parenthesis around (9 + -1n)
6 + 9 + -1n = -4(7n + -8) + -7

Combine like terms: 6 + 9 = 15
15 + -1n = -4(7n + -8) + -7

Reorder the terms:
15 + -1n = -4(-8 + 7n) + -7
15 + -1n = (-8 * -4 + 7n * -4) + -7
15 + -1n = (32 + -28n) + -7

Reorder the terms:
15 + -1n = 32 + -7 + -28n

Combine like terms: 32 + -7 = 25
15 + -1n = 25 + -28n

Solving
15 + -1n = 25 + -28n

Solving for variable 'n'.

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

Add '28n' to each side of the equation.
15 + -1n + 28n = 25 + -28n + 28n

Combine like terms: -1n + 28n = 27n
15 + 27n = 25 + -28n + 28n

Combine like terms: -28n + 28n = 0
15 + 27n = 25 + 0
15 + 27n = 25

Add '-15' to each side of the equation.
15 + -15 + 27n = 25 + -15

Combine like terms: 15 + -15 = 0
0 + 27n = 25 + -15
27n = 25 + -15

Combine like terms: 25 + -15 = 10
27n = 10

Divide each side by '27'.
n = 0.3703703704

Simplifying
n = 0.3703703704

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