5+n=4(8n+7)+8

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Solution for 5+n=4(8n+7)+8 equation: 


Simplifying
5 + n = 4(8n + 7) + 8

Reorder the terms:
5 + n = 4(7 + 8n) + 8
5 + n = (7 * 4 + 8n * 4) + 8
5 + n = (28 + 32n) + 8

Reorder the terms:
5 + n = 28 + 8 + 32n

Combine like terms: 28 + 8 = 36
5 + n = 36 + 32n

Solving
5 + n = 36 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
5 + n + -32n = 36 + 32n + -32n

Combine like terms: n + -32n = -31n
5 + -31n = 36 + 32n + -32n

Combine like terms: 32n + -32n = 0
5 + -31n = 36 + 0
5 + -31n = 36

Add '-5' to each side of the equation.
5 + -5 + -31n = 36 + -5

Combine like terms: 5 + -5 = 0
0 + -31n = 36 + -5
-31n = 36 + -5

Combine like terms: 36 + -5 = 31
-31n = 31

Divide each side by '-31'.
n = -1

Simplifying
n = -1

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