0=2(n+5)-6(4n-2)

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Solution for 0=2(n+5)-6(4n-2) equation:


Simplifying
0 = 2(n + 5) + -6(4n + -2)

Reorder the terms:
0 = 2(5 + n) + -6(4n + -2)
0 = (5 * 2 + n * 2) + -6(4n + -2)
0 = (10 + 2n) + -6(4n + -2)

Reorder the terms:
0 = 10 + 2n + -6(-2 + 4n)
0 = 10 + 2n + (-2 * -6 + 4n * -6)
0 = 10 + 2n + (12 + -24n)

Reorder the terms:
0 = 10 + 12 + 2n + -24n

Combine like terms: 10 + 12 = 22
0 = 22 + 2n + -24n

Combine like terms: 2n + -24n = -22n
0 = 22 + -22n

Solving
0 = 22 + -22n

Solving for variable 'n'.

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

Add '22n' to each side of the equation.
0 + 22n = 22 + -22n + 22n
Remove the zero:
22n = 22 + -22n + 22n

Combine like terms: -22n + 22n = 0
22n = 22 + 0
22n = 22

Divide each side by '22'.
n = 1

Simplifying
n = 1

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