3(5-2n)=7n-24

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Solution for 3(5-2n)=7n-24 equation:


Simplifying
3(5 + -2n) = 7n + -24
(5 * 3 + -2n * 3) = 7n + -24
(15 + -6n) = 7n + -24

Reorder the terms:
15 + -6n = -24 + 7n

Solving
15 + -6n = -24 + 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 + -6n + -7n = -24 + 7n + -7n

Combine like terms: -6n + -7n = -13n
15 + -13n = -24 + 7n + -7n

Combine like terms: 7n + -7n = 0
15 + -13n = -24 + 0
15 + -13n = -24

Add '-15' to each side of the equation.
15 + -15 + -13n = -24 + -15

Combine like terms: 15 + -15 = 0
0 + -13n = -24 + -15
-13n = -24 + -15

Combine like terms: -24 + -15 = -39
-13n = -39

Divide each side by '-13'.
n = 3

Simplifying
n = 3

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