-4(3n-6)-2(n+5)=n+7+2n+7

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Solution for -4(3n-6)-2(n+5)=n+7+2n+7 equation:


Simplifying
-4(3n + -6) + -2(n + 5) = n + 7 + 2n + 7

Reorder the terms:
-4(-6 + 3n) + -2(n + 5) = n + 7 + 2n + 7
(-6 * -4 + 3n * -4) + -2(n + 5) = n + 7 + 2n + 7
(24 + -12n) + -2(n + 5) = n + 7 + 2n + 7

Reorder the terms:
24 + -12n + -2(5 + n) = n + 7 + 2n + 7
24 + -12n + (5 * -2 + n * -2) = n + 7 + 2n + 7
24 + -12n + (-10 + -2n) = n + 7 + 2n + 7

Reorder the terms:
24 + -10 + -12n + -2n = n + 7 + 2n + 7

Combine like terms: 24 + -10 = 14
14 + -12n + -2n = n + 7 + 2n + 7

Combine like terms: -12n + -2n = -14n
14 + -14n = n + 7 + 2n + 7

Reorder the terms:
14 + -14n = 7 + 7 + n + 2n

Combine like terms: 7 + 7 = 14
14 + -14n = 14 + n + 2n

Combine like terms: n + 2n = 3n
14 + -14n = 14 + 3n

Add '-14' to each side of the equation.
14 + -14 + -14n = 14 + -14 + 3n

Combine like terms: 14 + -14 = 0
0 + -14n = 14 + -14 + 3n
-14n = 14 + -14 + 3n

Combine like terms: 14 + -14 = 0
-14n = 0 + 3n
-14n = 3n

Solving
-14n = 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.
-14n + -3n = 3n + -3n

Combine like terms: -14n + -3n = -17n
-17n = 3n + -3n

Combine like terms: 3n + -3n = 0
-17n = 0

Divide each side by '-17'.
n = 0

Simplifying
n = 0

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