83=-7+6(n+8)

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Solution for 83=-7+6(n+8) equation:


Simplifying
83 = -7 + 6(n + 8)

Reorder the terms:
83 = -7 + 6(8 + n)
83 = -7 + (8 * 6 + n * 6)
83 = -7 + (48 + 6n)

Combine like terms: -7 + 48 = 41
83 = 41 + 6n

Solving
83 = 41 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
83 + -6n = 41 + 6n + -6n

Combine like terms: 6n + -6n = 0
83 + -6n = 41 + 0
83 + -6n = 41

Add '-83' to each side of the equation.
83 + -83 + -6n = 41 + -83

Combine like terms: 83 + -83 = 0
0 + -6n = 41 + -83
-6n = 41 + -83

Combine like terms: 41 + -83 = -42
-6n = -42

Divide each side by '-6'.
n = 7

Simplifying
n = 7

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