109=-7(-5+2n)+4

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Solution for 109=-7(-5+2n)+4 equation:


Simplifying
109 = -7(-5 + 2n) + 4
109 = (-5 * -7 + 2n * -7) + 4
109 = (35 + -14n) + 4

Reorder the terms:
109 = 35 + 4 + -14n

Combine like terms: 35 + 4 = 39
109 = 39 + -14n

Solving
109 = 39 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
109 + 14n = 39 + -14n + 14n

Combine like terms: -14n + 14n = 0
109 + 14n = 39 + 0
109 + 14n = 39

Add '-109' to each side of the equation.
109 + -109 + 14n = 39 + -109

Combine like terms: 109 + -109 = 0
0 + 14n = 39 + -109
14n = 39 + -109

Combine like terms: 39 + -109 = -70
14n = -70

Divide each side by '14'.
n = -5

Simplifying
n = -5

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