4(3n+3)=8(6n+5)+8

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Solution for 4(3n+3)=8(6n+5)+8 equation: 


Simplifying
4(3n + 3) = 8(6n + 5) + 8

Reorder the terms:
4(3 + 3n) = 8(6n + 5) + 8
(3 * 4 + 3n * 4) = 8(6n + 5) + 8
(12 + 12n) = 8(6n + 5) + 8

Reorder the terms:
12 + 12n = 8(5 + 6n) + 8
12 + 12n = (5 * 8 + 6n * 8) + 8
12 + 12n = (40 + 48n) + 8

Reorder the terms:
12 + 12n = 40 + 8 + 48n

Combine like terms: 40 + 8 = 48
12 + 12n = 48 + 48n

Solving
12 + 12n = 48 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
12 + 12n + -48n = 48 + 48n + -48n

Combine like terms: 12n + -48n = -36n
12 + -36n = 48 + 48n + -48n

Combine like terms: 48n + -48n = 0
12 + -36n = 48 + 0
12 + -36n = 48

Add '-12' to each side of the equation.
12 + -12 + -36n = 48 + -12

Combine like terms: 12 + -12 = 0
0 + -36n = 48 + -12
-36n = 48 + -12

Combine like terms: 48 + -12 = 36
-36n = 36

Divide each side by '-36'.
n = -1

Simplifying
n = -1

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