8(6n-4)=(6n-10)+40

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Solution for 8(6n-4)=(6n-10)+40 equation:


Simplifying
8(6n + -4) = (6n + -10) + 40

Reorder the terms:
8(-4 + 6n) = (6n + -10) + 40
(-4 * 8 + 6n * 8) = (6n + -10) + 40
(-32 + 48n) = (6n + -10) + 40

Reorder the terms:
-32 + 48n = (-10 + 6n) + 40

Remove parenthesis around (-10 + 6n)
-32 + 48n = -10 + 6n + 40

Reorder the terms:
-32 + 48n = -10 + 40 + 6n

Combine like terms: -10 + 40 = 30
-32 + 48n = 30 + 6n

Solving
-32 + 48n = 30 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-32 + 48n + -6n = 30 + 6n + -6n

Combine like terms: 48n + -6n = 42n
-32 + 42n = 30 + 6n + -6n

Combine like terms: 6n + -6n = 0
-32 + 42n = 30 + 0
-32 + 42n = 30

Add '32' to each side of the equation.
-32 + 32 + 42n = 30 + 32

Combine like terms: -32 + 32 = 0
0 + 42n = 30 + 32
42n = 30 + 32

Combine like terms: 30 + 32 = 62
42n = 62

Divide each side by '42'.
n = 1.476190476

Simplifying
n = 1.476190476

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