3(2n+5)=4n-29

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Solution for 3(2n+5)=4n-29 equation: 


Simplifying
3(2n + 5) = 4n + -29

Reorder the terms:
3(5 + 2n) = 4n + -29
(5 * 3 + 2n * 3) = 4n + -29
(15 + 6n) = 4n + -29

Reorder the terms:
15 + 6n = -29 + 4n

Solving
15 + 6n = -29 + 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.
15 + 6n + -4n = -29 + 4n + -4n

Combine like terms: 6n + -4n = 2n
15 + 2n = -29 + 4n + -4n

Combine like terms: 4n + -4n = 0
15 + 2n = -29 + 0
15 + 2n = -29

Add '-15' to each side of the equation.
15 + -15 + 2n = -29 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = -29 + -15
2n = -29 + -15

Combine like terms: -29 + -15 = -44
2n = -44

Divide each side by '2'.
n = -22

Simplifying
n = -22

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