4(6n+2)=7n+8

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Solution for 4(6n+2)=7n+8 equation:


Simplifying
4(6n + 2) = 7n + 8

Reorder the terms:
4(2 + 6n) = 7n + 8
(2 * 4 + 6n * 4) = 7n + 8
(8 + 24n) = 7n + 8

Reorder the terms:
8 + 24n = 8 + 7n

Add '-8' to each side of the equation.
8 + -8 + 24n = 8 + -8 + 7n

Combine like terms: 8 + -8 = 0
0 + 24n = 8 + -8 + 7n
24n = 8 + -8 + 7n

Combine like terms: 8 + -8 = 0
24n = 0 + 7n
24n = 7n

Solving
24n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
24n + -7n = 7n + -7n

Combine like terms: 24n + -7n = 17n
17n = 7n + -7n

Combine like terms: 7n + -7n = 0
17n = 0

Divide each side by '17'.
n = 0

Simplifying
n = 0

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