2(2n+4)=-6(n+7)

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Solution for 2(2n+4)=-6(n+7) equation:


Simplifying
2(2n + 4) = -6(n + 7)

Reorder the terms:
2(4 + 2n) = -6(n + 7)
(4 * 2 + 2n * 2) = -6(n + 7)
(8 + 4n) = -6(n + 7)

Reorder the terms:
8 + 4n = -6(7 + n)
8 + 4n = (7 * -6 + n * -6)
8 + 4n = (-42 + -6n)

Solving
8 + 4n = -42 + -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.
8 + 4n + 6n = -42 + -6n + 6n

Combine like terms: 4n + 6n = 10n
8 + 10n = -42 + -6n + 6n

Combine like terms: -6n + 6n = 0
8 + 10n = -42 + 0
8 + 10n = -42

Add '-8' to each side of the equation.
8 + -8 + 10n = -42 + -8

Combine like terms: 8 + -8 = 0
0 + 10n = -42 + -8
10n = -42 + -8

Combine like terms: -42 + -8 = -50
10n = -50

Divide each side by '10'.
n = -5

Simplifying
n = -5

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