153=-7(8n-5)+6

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Solution for 153=-7(8n-5)+6 equation:


Simplifying
153 = -7(8n + -5) + 6

Reorder the terms:
153 = -7(-5 + 8n) + 6
153 = (-5 * -7 + 8n * -7) + 6
153 = (35 + -56n) + 6

Reorder the terms:
153 = 35 + 6 + -56n

Combine like terms: 35 + 6 = 41
153 = 41 + -56n

Solving
153 = 41 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
153 + 56n = 41 + -56n + 56n

Combine like terms: -56n + 56n = 0
153 + 56n = 41 + 0
153 + 56n = 41

Add '-153' to each side of the equation.
153 + -153 + 56n = 41 + -153

Combine like terms: 153 + -153 = 0
0 + 56n = 41 + -153
56n = 41 + -153

Combine like terms: 41 + -153 = -112
56n = -112

Divide each side by '56'.
n = -2

Simplifying
n = -2

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