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

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


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

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

Reorder the terms:
2 + -7n + 2(5 + n) = -1n + -2n
2 + -7n + (5 * 2 + n * 2) = -1n + -2n
2 + -7n + (10 + 2n) = -1n + -2n

Reorder the terms:
2 + 10 + -7n + 2n = -1n + -2n

Combine like terms: 2 + 10 = 12
12 + -7n + 2n = -1n + -2n

Combine like terms: -7n + 2n = -5n
12 + -5n = -1n + -2n

Combine like terms: -1n + -2n = -3n
12 + -5n = -3n

Solving
12 + -5n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
12 + -5n + 3n = -3n + 3n

Combine like terms: -5n + 3n = -2n
12 + -2n = -3n + 3n

Combine like terms: -3n + 3n = 0
12 + -2n = 0

Add '-12' to each side of the equation.
12 + -12 + -2n = 0 + -12

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

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

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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