6(n-1)+6=n(4-2)+4

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Solution for 6(n-1)+6=n(4-2)+4 equation:


Simplifying
6(n + -1) + 6 = n(4 + -2) + 4

Reorder the terms:
6(-1 + n) + 6 = n(4 + -2) + 4
(-1 * 6 + n * 6) + 6 = n(4 + -2) + 4
(-6 + 6n) + 6 = n(4 + -2) + 4

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

Combine like terms: -6 + 6 = 0
0 + 6n = n(4 + -2) + 4
6n = n(4 + -2) + 4

Combine like terms: 4 + -2 = 2
6n = n(2) + 4

Reorder the terms for easier multiplication:
6n = 2n + 4

Reorder the terms:
6n = 4 + 2n

Solving
6n = 4 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6n + -2n = 4 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
4n = 4 + 0
4n = 4

Divide each side by '4'.
n = 1

Simplifying
n = 1

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