-10-5n=5n+8(4n+4)

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Solution for -10-5n=5n+8(4n+4) equation: 


Simplifying
-10 + -5n = 5n + 8(4n + 4)

Reorder the terms:
-10 + -5n = 5n + 8(4 + 4n)
-10 + -5n = 5n + (4 * 8 + 4n * 8)
-10 + -5n = 5n + (32 + 32n)

Reorder the terms:
-10 + -5n = 32 + 5n + 32n

Combine like terms: 5n + 32n = 37n
-10 + -5n = 32 + 37n

Solving
-10 + -5n = 32 + 37n

Solving for variable 'n'.

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

Add '-37n' to each side of the equation.
-10 + -5n + -37n = 32 + 37n + -37n

Combine like terms: -5n + -37n = -42n
-10 + -42n = 32 + 37n + -37n

Combine like terms: 37n + -37n = 0
-10 + -42n = 32 + 0
-10 + -42n = 32

Add '10' to each side of the equation.
-10 + 10 + -42n = 32 + 10

Combine like terms: -10 + 10 = 0
0 + -42n = 32 + 10
-42n = 32 + 10

Combine like terms: 32 + 10 = 42
-42n = 42

Divide each side by '-42'.
n = -1

Simplifying
n = -1

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