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

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


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

Reorder the terms:
2(6 + n) = 4(n + -7)
(6 * 2 + n * 2) = 4(n + -7)
(12 + 2n) = 4(n + -7)

Reorder the terms:
12 + 2n = 4(-7 + n)
12 + 2n = (-7 * 4 + n * 4)
12 + 2n = (-28 + 4n)

Solving
12 + 2n = -28 + 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.
12 + 2n + -4n = -28 + 4n + -4n

Combine like terms: 2n + -4n = -2n
12 + -2n = -28 + 4n + -4n

Combine like terms: 4n + -4n = 0
12 + -2n = -28 + 0
12 + -2n = -28

Add '-12' to each side of the equation.
12 + -12 + -2n = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = -28 + -12
-2n = -28 + -12

Combine like terms: -28 + -12 = -40
-2n = -40

Divide each side by '-2'.
n = 20

Simplifying
n = 20

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