83=2(8-7n)-3

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Solution for 83=2(8-7n)-3 equation:


Simplifying
83 = 2(8 + -7n) + -3
83 = (8 * 2 + -7n * 2) + -3
83 = (16 + -14n) + -3

Reorder the terms:
83 = 16 + -3 + -14n

Combine like terms: 16 + -3 = 13
83 = 13 + -14n

Solving
83 = 13 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
83 + 14n = 13 + -14n + 14n

Combine like terms: -14n + 14n = 0
83 + 14n = 13 + 0
83 + 14n = 13

Add '-83' to each side of the equation.
83 + -83 + 14n = 13 + -83

Combine like terms: 83 + -83 = 0
0 + 14n = 13 + -83
14n = 13 + -83

Combine like terms: 13 + -83 = -70
14n = -70

Divide each side by '14'.
n = -5

Simplifying
n = -5

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