-2n+4(1+3n)=-6n-20

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Solution for -2n+4(1+3n)=-6n-20 equation:


Simplifying
-2n + 4(1 + 3n) = -6n + -20
-2n + (1 * 4 + 3n * 4) = -6n + -20
-2n + (4 + 12n) = -6n + -20

Reorder the terms:
4 + -2n + 12n = -6n + -20

Combine like terms: -2n + 12n = 10n
4 + 10n = -6n + -20

Reorder the terms:
4 + 10n = -20 + -6n

Solving
4 + 10n = -20 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
4 + 10n + 6n = -20 + -6n + 6n

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

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

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

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

Combine like terms: -20 + -4 = -24
16n = -24

Divide each side by '16'.
n = -1.5

Simplifying
n = -1.5

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