101=8(-3n-6)+5

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Solution for 101=8(-3n-6)+5 equation:


Simplifying
101 = 8(-3n + -6) + 5

Reorder the terms:
101 = 8(-6 + -3n) + 5
101 = (-6 * 8 + -3n * 8) + 5
101 = (-48 + -24n) + 5

Reorder the terms:
101 = -48 + 5 + -24n

Combine like terms: -48 + 5 = -43
101 = -43 + -24n

Solving
101 = -43 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
101 + 24n = -43 + -24n + 24n

Combine like terms: -24n + 24n = 0
101 + 24n = -43 + 0
101 + 24n = -43

Add '-101' to each side of the equation.
101 + -101 + 24n = -43 + -101

Combine like terms: 101 + -101 = 0
0 + 24n = -43 + -101
24n = -43 + -101

Combine like terms: -43 + -101 = -144
24n = -144

Divide each side by '24'.
n = -6

Simplifying
n = -6

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