15-4n+3=2(3n-8)-9n

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Solution for 15-4n+3=2(3n-8)-9n equation:


Simplifying
15 + -4n + 3 = 2(3n + -8) + -9n

Reorder the terms:
15 + 3 + -4n = 2(3n + -8) + -9n

Combine like terms: 15 + 3 = 18
18 + -4n = 2(3n + -8) + -9n

Reorder the terms:
18 + -4n = 2(-8 + 3n) + -9n
18 + -4n = (-8 * 2 + 3n * 2) + -9n
18 + -4n = (-16 + 6n) + -9n

Combine like terms: 6n + -9n = -3n
18 + -4n = -16 + -3n

Solving
18 + -4n = -16 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
18 + -4n + 3n = -16 + -3n + 3n

Combine like terms: -4n + 3n = -1n
18 + -1n = -16 + -3n + 3n

Combine like terms: -3n + 3n = 0
18 + -1n = -16 + 0
18 + -1n = -16

Add '-18' to each side of the equation.
18 + -18 + -1n = -16 + -18

Combine like terms: 18 + -18 = 0
0 + -1n = -16 + -18
-1n = -16 + -18

Combine like terms: -16 + -18 = -34
-1n = -34

Divide each side by '-1'.
n = 34

Simplifying
n = 34

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