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

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


Simplifying
-5(2n + -3) = 7(3 + -1n)

Reorder the terms:
-5(-3 + 2n) = 7(3 + -1n)
(-3 * -5 + 2n * -5) = 7(3 + -1n)
(15 + -10n) = 7(3 + -1n)
15 + -10n = (3 * 7 + -1n * 7)
15 + -10n = (21 + -7n)

Solving
15 + -10n = 21 + -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.
15 + -10n + 7n = 21 + -7n + 7n

Combine like terms: -10n + 7n = -3n
15 + -3n = 21 + -7n + 7n

Combine like terms: -7n + 7n = 0
15 + -3n = 21 + 0
15 + -3n = 21

Add '-15' to each side of the equation.
15 + -15 + -3n = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -3n = 21 + -15
-3n = 21 + -15

Combine like terms: 21 + -15 = 6
-3n = 6

Divide each side by '-3'.
n = -2

Simplifying
n = -2

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