=5(-2n+4)+2(n+3)

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Solution for =5(-2n+4)+2(n+3) equation:


Simplifying
0 = 5(-2n + 4) + 2(n + 3)

Reorder the terms:
0 = 5(4 + -2n) + 2(n + 3)
0 = (4 * 5 + -2n * 5) + 2(n + 3)
0 = (20 + -10n) + 2(n + 3)

Reorder the terms:
0 = 20 + -10n + 2(3 + n)
0 = 20 + -10n + (3 * 2 + n * 2)
0 = 20 + -10n + (6 + 2n)

Reorder the terms:
0 = 20 + 6 + -10n + 2n

Combine like terms: 20 + 6 = 26
0 = 26 + -10n + 2n

Combine like terms: -10n + 2n = -8n
0 = 26 + -8n

Solving
0 = 26 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
0 + 8n = 26 + -8n + 8n
Remove the zero:
8n = 26 + -8n + 8n

Combine like terms: -8n + 8n = 0
8n = 26 + 0
8n = 26

Divide each side by '8'.
n = 3.25

Simplifying
n = 3.25

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