-3(2n-3)=4(5-n)

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


Simplifying
-3(2n + -3) = 4(5 + -1n)

Reorder the terms:
-3(-3 + 2n) = 4(5 + -1n)
(-3 * -3 + 2n * -3) = 4(5 + -1n)
(9 + -6n) = 4(5 + -1n)
9 + -6n = (5 * 4 + -1n * 4)
9 + -6n = (20 + -4n)

Solving
9 + -6n = 20 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
9 + -6n + 4n = 20 + -4n + 4n

Combine like terms: -6n + 4n = -2n
9 + -2n = 20 + -4n + 4n

Combine like terms: -4n + 4n = 0
9 + -2n = 20 + 0
9 + -2n = 20

Add '-9' to each side of the equation.
9 + -9 + -2n = 20 + -9

Combine like terms: 9 + -9 = 0
0 + -2n = 20 + -9
-2n = 20 + -9

Combine like terms: 20 + -9 = 11
-2n = 11

Divide each side by '-2'.
n = -5.5

Simplifying
n = -5.5

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