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

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


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

Reorder the terms:
-7(-4 + -2n) = 5(n + -3) + -6
(-4 * -7 + -2n * -7) = 5(n + -3) + -6
(28 + 14n) = 5(n + -3) + -6

Reorder the terms:
28 + 14n = 5(-3 + n) + -6
28 + 14n = (-3 * 5 + n * 5) + -6
28 + 14n = (-15 + 5n) + -6

Reorder the terms:
28 + 14n = -15 + -6 + 5n

Combine like terms: -15 + -6 = -21
28 + 14n = -21 + 5n

Solving
28 + 14n = -21 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
28 + 14n + -5n = -21 + 5n + -5n

Combine like terms: 14n + -5n = 9n
28 + 9n = -21 + 5n + -5n

Combine like terms: 5n + -5n = 0
28 + 9n = -21 + 0
28 + 9n = -21

Add '-28' to each side of the equation.
28 + -28 + 9n = -21 + -28

Combine like terms: 28 + -28 = 0
0 + 9n = -21 + -28
9n = -21 + -28

Combine like terms: -21 + -28 = -49
9n = -49

Divide each side by '9'.
n = -5.444444444

Simplifying
n = -5.444444444

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