4(n+3)-10n=2n-20

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Solution for 4(n+3)-10n=2n-20 equation: 


Simplifying
4(n + 3) + -10n = 2n + -20

Reorder the terms:
4(3 + n) + -10n = 2n + -20
(3 * 4 + n * 4) + -10n = 2n + -20
(12 + 4n) + -10n = 2n + -20

Combine like terms: 4n + -10n = -6n
12 + -6n = 2n + -20

Reorder the terms:
12 + -6n = -20 + 2n

Solving
12 + -6n = -20 + 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.
12 + -6n + -2n = -20 + 2n + -2n

Combine like terms: -6n + -2n = -8n
12 + -8n = -20 + 2n + -2n

Combine like terms: 2n + -2n = 0
12 + -8n = -20 + 0
12 + -8n = -20

Add '-12' to each side of the equation.
12 + -12 + -8n = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -8n = -20 + -12
-8n = -20 + -12

Combine like terms: -20 + -12 = -32
-8n = -32

Divide each side by '-8'.
n = 4

Simplifying
n = 4

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