-100=5(5n-2)-7n

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Solution for -100=5(5n-2)-7n equation: 


Simplifying
-100 = 5(5n + -2) + -7n

Reorder the terms:
-100 = 5(-2 + 5n) + -7n
-100 = (-2 * 5 + 5n * 5) + -7n
-100 = (-10 + 25n) + -7n

Combine like terms: 25n + -7n = 18n
-100 = -10 + 18n

Solving
-100 = -10 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-100 + -18n = -10 + 18n + -18n

Combine like terms: 18n + -18n = 0
-100 + -18n = -10 + 0
-100 + -18n = -10

Add '100' to each side of the equation.
-100 + 100 + -18n = -10 + 100

Combine like terms: -100 + 100 = 0
0 + -18n = -10 + 100
-18n = -10 + 100

Combine like terms: -10 + 100 = 90
-18n = 90

Divide each side by '-18'.
n = -5

Simplifying
n = -5

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