3-5(4n+2)=-107

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Solution for 3-5(4n+2)=-107 equation:


Simplifying
3 + -5(4n + 2) = -107

Reorder the terms:
3 + -5(2 + 4n) = -107
3 + (2 * -5 + 4n * -5) = -107
3 + (-10 + -20n) = -107

Combine like terms: 3 + -10 = -7
-7 + -20n = -107

Solving
-7 + -20n = -107

Solving for variable 'n'.

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

Add '7' to each side of the equation.
-7 + 7 + -20n = -107 + 7

Combine like terms: -7 + 7 = 0
0 + -20n = -107 + 7
-20n = -107 + 7

Combine like terms: -107 + 7 = -100
-20n = -100

Divide each side by '-20'.
n = 5

Simplifying
n = 5

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