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

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


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

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

Combine like terms: 3 + 10 = 13
2 + -8n = 13 + -30n

Solving
2 + -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.
2 + -8n + 30n = 13 + -30n + 30n

Combine like terms: -8n + 30n = 22n
2 + 22n = 13 + -30n + 30n

Combine like terms: -30n + 30n = 0
2 + 22n = 13 + 0
2 + 22n = 13

Add '-2' to each side of the equation.
2 + -2 + 22n = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 22n = 13 + -2
22n = 13 + -2

Combine like terms: 13 + -2 = 11
22n = 11

Divide each side by '22'.
n = 0.5

Simplifying
n = 0.5

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