4(6n+3)=3(7n-6)

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Solution for 4(6n+3)=3(7n-6) equation:


Simplifying
4(6n + 3) = 3(7n + -6)

Reorder the terms:
4(3 + 6n) = 3(7n + -6)
(3 * 4 + 6n * 4) = 3(7n + -6)
(12 + 24n) = 3(7n + -6)

Reorder the terms:
12 + 24n = 3(-6 + 7n)
12 + 24n = (-6 * 3 + 7n * 3)
12 + 24n = (-18 + 21n)

Solving
12 + 24n = -18 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
12 + 24n + -21n = -18 + 21n + -21n

Combine like terms: 24n + -21n = 3n
12 + 3n = -18 + 21n + -21n

Combine like terms: 21n + -21n = 0
12 + 3n = -18 + 0
12 + 3n = -18

Add '-12' to each side of the equation.
12 + -12 + 3n = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = -18 + -12
3n = -18 + -12

Combine like terms: -18 + -12 = -30
3n = -30

Divide each side by '3'.
n = -10

Simplifying
n = -10

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