6+4(6-4n)=-40-2n

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Solution for 6+4(6-4n)=-40-2n equation:


Simplifying
6 + 4(6 + -4n) = -40 + -2n
6 + (6 * 4 + -4n * 4) = -40 + -2n
6 + (24 + -16n) = -40 + -2n

Combine like terms: 6 + 24 = 30
30 + -16n = -40 + -2n

Solving
30 + -16n = -40 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
30 + -16n + 2n = -40 + -2n + 2n

Combine like terms: -16n + 2n = -14n
30 + -14n = -40 + -2n + 2n

Combine like terms: -2n + 2n = 0
30 + -14n = -40 + 0
30 + -14n = -40

Add '-30' to each side of the equation.
30 + -30 + -14n = -40 + -30

Combine like terms: 30 + -30 = 0
0 + -14n = -40 + -30
-14n = -40 + -30

Combine like terms: -40 + -30 = -70
-14n = -70

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

Simplifying
n = 5

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