6+5(2n+2)=4n-20

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Solution for 6+5(2n+2)=4n-20 equation:


Simplifying
6 + 5(2n + 2) = 4n + -20

Reorder the terms:
6 + 5(2 + 2n) = 4n + -20
6 + (2 * 5 + 2n * 5) = 4n + -20
6 + (10 + 10n) = 4n + -20

Combine like terms: 6 + 10 = 16
16 + 10n = 4n + -20

Reorder the terms:
16 + 10n = -20 + 4n

Solving
16 + 10n = -20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
16 + 10n + -4n = -20 + 4n + -4n

Combine like terms: 10n + -4n = 6n
16 + 6n = -20 + 4n + -4n

Combine like terms: 4n + -4n = 0
16 + 6n = -20 + 0
16 + 6n = -20

Add '-16' to each side of the equation.
16 + -16 + 6n = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 6n = -20 + -16
6n = -20 + -16

Combine like terms: -20 + -16 = -36
6n = -36

Divide each side by '6'.
n = -6

Simplifying
n = -6

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