2n+5=7n-100

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Solution for 2n+5=7n-100 equation:


Simplifying
2n + 5 = 7n + -100

Reorder the terms:
5 + 2n = 7n + -100

Reorder the terms:
5 + 2n = -100 + 7n

Solving
5 + 2n = -100 + 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 + 2n + -7n = -100 + 7n + -7n

Combine like terms: 2n + -7n = -5n
5 + -5n = -100 + 7n + -7n

Combine like terms: 7n + -7n = 0
5 + -5n = -100 + 0
5 + -5n = -100

Add '-5' to each side of the equation.
5 + -5 + -5n = -100 + -5

Combine like terms: 5 + -5 = 0
0 + -5n = -100 + -5
-5n = -100 + -5

Combine like terms: -100 + -5 = -105
-5n = -105

Divide each side by '-5'.
n = 21

Simplifying
n = 21

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