2(n+6)=2-7(-n+5)

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Solution for 2(n+6)=2-7(-n+5) equation:


Simplifying
2(n + 6) = 2 + -7(-1n + 5)

Reorder the terms:
2(6 + n) = 2 + -7(-1n + 5)
(6 * 2 + n * 2) = 2 + -7(-1n + 5)
(12 + 2n) = 2 + -7(-1n + 5)

Reorder the terms:
12 + 2n = 2 + -7(5 + -1n)
12 + 2n = 2 + (5 * -7 + -1n * -7)
12 + 2n = 2 + (-35 + 7n)

Combine like terms: 2 + -35 = -33
12 + 2n = -33 + 7n

Solving
12 + 2n = -33 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
12 + 2n + -7n = -33 + 7n + -7n

Combine like terms: 2n + -7n = -5n
12 + -5n = -33 + 7n + -7n

Combine like terms: 7n + -7n = 0
12 + -5n = -33 + 0
12 + -5n = -33

Add '-12' to each side of the equation.
12 + -12 + -5n = -33 + -12

Combine like terms: 12 + -12 = 0
0 + -5n = -33 + -12
-5n = -33 + -12

Combine like terms: -33 + -12 = -45
-5n = -45

Divide each side by '-5'.
n = 9

Simplifying
n = 9

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