5(3n+7)=4(3n-4)+6

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Solution for 5(3n+7)=4(3n-4)+6 equation: 


Simplifying
5(3n + 7) = 4(3n + -4) + 6

Reorder the terms:
5(7 + 3n) = 4(3n + -4) + 6
(7 * 5 + 3n * 5) = 4(3n + -4) + 6
(35 + 15n) = 4(3n + -4) + 6

Reorder the terms:
35 + 15n = 4(-4 + 3n) + 6
35 + 15n = (-4 * 4 + 3n * 4) + 6
35 + 15n = (-16 + 12n) + 6

Reorder the terms:
35 + 15n = -16 + 6 + 12n

Combine like terms: -16 + 6 = -10
35 + 15n = -10 + 12n

Solving
35 + 15n = -10 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
35 + 15n + -12n = -10 + 12n + -12n

Combine like terms: 15n + -12n = 3n
35 + 3n = -10 + 12n + -12n

Combine like terms: 12n + -12n = 0
35 + 3n = -10 + 0
35 + 3n = -10

Add '-35' to each side of the equation.
35 + -35 + 3n = -10 + -35

Combine like terms: 35 + -35 = 0
0 + 3n = -10 + -35
3n = -10 + -35

Combine like terms: -10 + -35 = -45
3n = -45

Divide each side by '3'.
n = -15

Simplifying
n = -15

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