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

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Solution for 2(2-7n)-5(-n-1)=-6n-7-5 equation:


Simplifying
2(2 + -7n) + -5(-1n + -1) = -6n + -7 + -5
(2 * 2 + -7n * 2) + -5(-1n + -1) = -6n + -7 + -5
(4 + -14n) + -5(-1n + -1) = -6n + -7 + -5

Reorder the terms:
4 + -14n + -5(-1 + -1n) = -6n + -7 + -5
4 + -14n + (-1 * -5 + -1n * -5) = -6n + -7 + -5
4 + -14n + (5 + 5n) = -6n + -7 + -5

Reorder the terms:
4 + 5 + -14n + 5n = -6n + -7 + -5

Combine like terms: 4 + 5 = 9
9 + -14n + 5n = -6n + -7 + -5

Combine like terms: -14n + 5n = -9n
9 + -9n = -6n + -7 + -5

Reorder the terms:
9 + -9n = -7 + -5 + -6n

Combine like terms: -7 + -5 = -12
9 + -9n = -12 + -6n

Solving
9 + -9n = -12 + -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.
9 + -9n + 6n = -12 + -6n + 6n

Combine like terms: -9n + 6n = -3n
9 + -3n = -12 + -6n + 6n

Combine like terms: -6n + 6n = 0
9 + -3n = -12 + 0
9 + -3n = -12

Add '-9' to each side of the equation.
9 + -9 + -3n = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -3n = -12 + -9
-3n = -12 + -9

Combine like terms: -12 + -9 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7

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