3(3n+4)=-16+5n

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Solution for 3(3n+4)=-16+5n equation:


Simplifying
3(3n + 4) = -16 + 5n

Reorder the terms:
3(4 + 3n) = -16 + 5n
(4 * 3 + 3n * 3) = -16 + 5n
(12 + 9n) = -16 + 5n

Solving
12 + 9n = -16 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
12 + 9n + -5n = -16 + 5n + -5n

Combine like terms: 9n + -5n = 4n
12 + 4n = -16 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + 4n = -16 + 0
12 + 4n = -16

Add '-12' to each side of the equation.
12 + -12 + 4n = -16 + -12

Combine like terms: 12 + -12 = 0
0 + 4n = -16 + -12
4n = -16 + -12

Combine like terms: -16 + -12 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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