3(5n+2)-2=-101

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Solution for 3(5n+2)-2=-101 equation:


Simplifying
3(5n + 2) + -2 = -101

Reorder the terms:
3(2 + 5n) + -2 = -101
(2 * 3 + 5n * 3) + -2 = -101
(6 + 15n) + -2 = -101

Reorder the terms:
6 + -2 + 15n = -101

Combine like terms: 6 + -2 = 4
4 + 15n = -101

Solving
4 + 15n = -101

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + 15n = -101 + -4

Combine like terms: 4 + -4 = 0
0 + 15n = -101 + -4
15n = -101 + -4

Combine like terms: -101 + -4 = -105
15n = -105

Divide each side by '15'.
n = -7

Simplifying
n = -7

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