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

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


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

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

Reorder the terms:
12 + 12n = 6(4 + 4n) + 6
12 + 12n = (4 * 6 + 4n * 6) + 6
12 + 12n = (24 + 24n) + 6

Reorder the terms:
12 + 12n = 24 + 6 + 24n

Combine like terms: 24 + 6 = 30
12 + 12n = 30 + 24n

Solving
12 + 12n = 30 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
12 + 12n + -24n = 30 + 24n + -24n

Combine like terms: 12n + -24n = -12n
12 + -12n = 30 + 24n + -24n

Combine like terms: 24n + -24n = 0
12 + -12n = 30 + 0
12 + -12n = 30

Add '-12' to each side of the equation.
12 + -12 + -12n = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -12n = 30 + -12
-12n = 30 + -12

Combine like terms: 30 + -12 = 18
-12n = 18

Divide each side by '-12'.
n = -1.5

Simplifying
n = -1.5

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