2n+8=7n+58

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Solution for 2n+8=7n+58 equation:


Simplifying
2n + 8 = 7n + 58

Reorder the terms:
8 + 2n = 7n + 58

Reorder the terms:
8 + 2n = 58 + 7n

Solving
8 + 2n = 58 + 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.
8 + 2n + -7n = 58 + 7n + -7n

Combine like terms: 2n + -7n = -5n
8 + -5n = 58 + 7n + -7n

Combine like terms: 7n + -7n = 0
8 + -5n = 58 + 0
8 + -5n = 58

Add '-8' to each side of the equation.
8 + -8 + -5n = 58 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 58 + -8
-5n = 58 + -8

Combine like terms: 58 + -8 = 50
-5n = 50

Divide each side by '-5'.
n = -10

Simplifying
n = -10

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