4(3n+1)=6(4n+3)+4

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Solution for 4(3n+1)=6(4n+3)+4 equation: 


Simplifying
4(3n + 1) = 6(4n + 3) + 4

Reorder the terms:
4(1 + 3n) = 6(4n + 3) + 4
(1 * 4 + 3n * 4) = 6(4n + 3) + 4
(4 + 12n) = 6(4n + 3) + 4

Reorder the terms:
4 + 12n = 6(3 + 4n) + 4
4 + 12n = (3 * 6 + 4n * 6) + 4
4 + 12n = (18 + 24n) + 4

Reorder the terms:
4 + 12n = 18 + 4 + 24n

Combine like terms: 18 + 4 = 22
4 + 12n = 22 + 24n

Solving
4 + 12n = 22 + 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.
4 + 12n + -24n = 22 + 24n + -24n

Combine like terms: 12n + -24n = -12n
4 + -12n = 22 + 24n + -24n

Combine like terms: 24n + -24n = 0
4 + -12n = 22 + 0
4 + -12n = 22

Add '-4' to each side of the equation.
4 + -4 + -12n = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -12n = 22 + -4
-12n = 22 + -4

Combine like terms: 22 + -4 = 18
-12n = 18

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

Simplifying
n = -1.5

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