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

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


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

Reorder the terms:
-5(-2 + n) + -7n = 5(3 + -2n) + 3n
(-2 * -5 + n * -5) + -7n = 5(3 + -2n) + 3n
(10 + -5n) + -7n = 5(3 + -2n) + 3n

Combine like terms: -5n + -7n = -12n
10 + -12n = 5(3 + -2n) + 3n
10 + -12n = (3 * 5 + -2n * 5) + 3n
10 + -12n = (15 + -10n) + 3n

Combine like terms: -10n + 3n = -7n
10 + -12n = 15 + -7n

Solving
10 + -12n = 15 + -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.
10 + -12n + 7n = 15 + -7n + 7n

Combine like terms: -12n + 7n = -5n
10 + -5n = 15 + -7n + 7n

Combine like terms: -7n + 7n = 0
10 + -5n = 15 + 0
10 + -5n = 15

Add '-10' to each side of the equation.
10 + -10 + -5n = 15 + -10

Combine like terms: 10 + -10 = 0
0 + -5n = 15 + -10
-5n = 15 + -10

Combine like terms: 15 + -10 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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