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

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


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

Reorder the terms:
4(3 + 3n) = 2(4n + -5) + 5n
(3 * 4 + 3n * 4) = 2(4n + -5) + 5n
(12 + 12n) = 2(4n + -5) + 5n

Reorder the terms:
12 + 12n = 2(-5 + 4n) + 5n
12 + 12n = (-5 * 2 + 4n * 2) + 5n
12 + 12n = (-10 + 8n) + 5n

Combine like terms: 8n + 5n = 13n
12 + 12n = -10 + 13n

Solving
12 + 12n = -10 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
12 + 12n + -13n = -10 + 13n + -13n

Combine like terms: 12n + -13n = -1n
12 + -1n = -10 + 13n + -13n

Combine like terms: 13n + -13n = 0
12 + -1n = -10 + 0
12 + -1n = -10

Add '-12' to each side of the equation.
12 + -12 + -1n = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -1n = -10 + -12
-1n = -10 + -12

Combine like terms: -10 + -12 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22

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