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

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


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

Reorder the terms:
4(4 + 3n) = 6(4n + 1) + 4
(4 * 4 + 3n * 4) = 6(4n + 1) + 4
(16 + 12n) = 6(4n + 1) + 4

Reorder the terms:
16 + 12n = 6(1 + 4n) + 4
16 + 12n = (1 * 6 + 4n * 6) + 4
16 + 12n = (6 + 24n) + 4

Reorder the terms:
16 + 12n = 6 + 4 + 24n

Combine like terms: 6 + 4 = 10
16 + 12n = 10 + 24n

Solving
16 + 12n = 10 + 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.
16 + 12n + -24n = 10 + 24n + -24n

Combine like terms: 12n + -24n = -12n
16 + -12n = 10 + 24n + -24n

Combine like terms: 24n + -24n = 0
16 + -12n = 10 + 0
16 + -12n = 10

Add '-16' to each side of the equation.
16 + -16 + -12n = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -12n = 10 + -16
-12n = 10 + -16

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

Divide each side by '-12'.
n = 0.5

Simplifying
n = 0.5

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