4(3n-8)=7n-2

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Solution for 4(3n-8)=7n-2 equation:


Simplifying
4(3n + -8) = 7n + -2

Reorder the terms:
4(-8 + 3n) = 7n + -2
(-8 * 4 + 3n * 4) = 7n + -2
(-32 + 12n) = 7n + -2

Reorder the terms:
-32 + 12n = -2 + 7n

Solving
-32 + 12n = -2 + 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.
-32 + 12n + -7n = -2 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-32 + 5n = -2 + 7n + -7n

Combine like terms: 7n + -7n = 0
-32 + 5n = -2 + 0
-32 + 5n = -2

Add '32' to each side of the equation.
-32 + 32 + 5n = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 5n = -2 + 32
5n = -2 + 32

Combine like terms: -2 + 32 = 30
5n = 30

Divide each side by '5'.
n = 6

Simplifying
n = 6

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