4n+8=6(n-2)

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


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

Reorder the terms:
8 + 4n = 6(n + -2)

Reorder the terms:
8 + 4n = 6(-2 + n)
8 + 4n = (-2 * 6 + n * 6)
8 + 4n = (-12 + 6n)

Solving
8 + 4n = -12 + 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.
8 + 4n + -6n = -12 + 6n + -6n

Combine like terms: 4n + -6n = -2n
8 + -2n = -12 + 6n + -6n

Combine like terms: 6n + -6n = 0
8 + -2n = -12 + 0
8 + -2n = -12

Add '-8' to each side of the equation.
8 + -8 + -2n = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -2n = -12 + -8
-2n = -12 + -8

Combine like terms: -12 + -8 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10

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