-8(n-2)=3+10(1-3n)

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Solution for -8(n-2)=3+10(1-3n) equation: 


Simplifying
-8(n + -2) = 3 + 10(1 + -3n)

Reorder the terms:
-8(-2 + n) = 3 + 10(1 + -3n)
(-2 * -8 + n * -8) = 3 + 10(1 + -3n)
(16 + -8n) = 3 + 10(1 + -3n)
16 + -8n = 3 + (1 * 10 + -3n * 10)
16 + -8n = 3 + (10 + -30n)

Combine like terms: 3 + 10 = 13
16 + -8n = 13 + -30n

Solving
16 + -8n = 13 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
16 + -8n + 30n = 13 + -30n + 30n

Combine like terms: -8n + 30n = 22n
16 + 22n = 13 + -30n + 30n

Combine like terms: -30n + 30n = 0
16 + 22n = 13 + 0
16 + 22n = 13

Add '-16' to each side of the equation.
16 + -16 + 22n = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 22n = 13 + -16
22n = 13 + -16

Combine like terms: 13 + -16 = -3
22n = -3

Divide each side by '22'.
n = -0.1363636364

Simplifying
n = -0.1363636364

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