-7+6(-8n+8)=(2n+5)+7

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Solution for -7+6(-8n+8)=(2n+5)+7 equation:


Simplifying
-7 + 6(-8n + 8) = (2n + 5) + 7

Reorder the terms:
-7 + 6(8 + -8n) = (2n + 5) + 7
-7 + (8 * 6 + -8n * 6) = (2n + 5) + 7
-7 + (48 + -48n) = (2n + 5) + 7

Combine like terms: -7 + 48 = 41
41 + -48n = (2n + 5) + 7

Reorder the terms:
41 + -48n = (5 + 2n) + 7

Remove parenthesis around (5 + 2n)
41 + -48n = 5 + 2n + 7

Reorder the terms:
41 + -48n = 5 + 7 + 2n

Combine like terms: 5 + 7 = 12
41 + -48n = 12 + 2n

Solving
41 + -48n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
41 + -48n + -2n = 12 + 2n + -2n

Combine like terms: -48n + -2n = -50n
41 + -50n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
41 + -50n = 12 + 0
41 + -50n = 12

Add '-41' to each side of the equation.
41 + -41 + -50n = 12 + -41

Combine like terms: 41 + -41 = 0
0 + -50n = 12 + -41
-50n = 12 + -41

Combine like terms: 12 + -41 = -29
-50n = -29

Divide each side by '-50'.
n = 0.58

Simplifying
n = 0.58

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