105=-6n-7(n-2)

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Solution for 105=-6n-7(n-2) equation:


Simplifying
105 = -6n + -7(n + -2)

Reorder the terms:
105 = -6n + -7(-2 + n)
105 = -6n + (-2 * -7 + n * -7)
105 = -6n + (14 + -7n)

Reorder the terms:
105 = 14 + -6n + -7n

Combine like terms: -6n + -7n = -13n
105 = 14 + -13n

Solving
105 = 14 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
105 + 13n = 14 + -13n + 13n

Combine like terms: -13n + 13n = 0
105 + 13n = 14 + 0
105 + 13n = 14

Add '-105' to each side of the equation.
105 + -105 + 13n = 14 + -105

Combine like terms: 105 + -105 = 0
0 + 13n = 14 + -105
13n = 14 + -105

Combine like terms: 14 + -105 = -91
13n = -91

Divide each side by '13'.
n = -7

Simplifying
n = -7

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