5(n-1)=(7n+3)+8

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Solution for 5(n-1)=(7n+3)+8 equation:


Simplifying
5(n + -1) = (7n + 3) + 8

Reorder the terms:
5(-1 + n) = (7n + 3) + 8
(-1 * 5 + n * 5) = (7n + 3) + 8
(-5 + 5n) = (7n + 3) + 8

Reorder the terms:
-5 + 5n = (3 + 7n) + 8

Remove parenthesis around (3 + 7n)
-5 + 5n = 3 + 7n + 8

Reorder the terms:
-5 + 5n = 3 + 8 + 7n

Combine like terms: 3 + 8 = 11
-5 + 5n = 11 + 7n

Solving
-5 + 5n = 11 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-5 + 5n + -7n = 11 + 7n + -7n

Combine like terms: 5n + -7n = -2n
-5 + -2n = 11 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + -2n = 11 + 0
-5 + -2n = 11

Add '5' to each side of the equation.
-5 + 5 + -2n = 11 + 5

Combine like terms: -5 + 5 = 0
0 + -2n = 11 + 5
-2n = 11 + 5

Combine like terms: 11 + 5 = 16
-2n = 16

Divide each side by '-2'.
n = -8

Simplifying
n = -8

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