12=2(3n+1)-8(5n+3)

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Solution for 12=2(3n+1)-8(5n+3) equation:


Simplifying
12 = 2(3n + 1) + -8(5n + 3)

Reorder the terms:
12 = 2(1 + 3n) + -8(5n + 3)
12 = (1 * 2 + 3n * 2) + -8(5n + 3)
12 = (2 + 6n) + -8(5n + 3)

Reorder the terms:
12 = 2 + 6n + -8(3 + 5n)
12 = 2 + 6n + (3 * -8 + 5n * -8)
12 = 2 + 6n + (-24 + -40n)

Reorder the terms:
12 = 2 + -24 + 6n + -40n

Combine like terms: 2 + -24 = -22
12 = -22 + 6n + -40n

Combine like terms: 6n + -40n = -34n
12 = -22 + -34n

Solving
12 = -22 + -34n

Solving for variable 'n'.

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

Add '34n' to each side of the equation.
12 + 34n = -22 + -34n + 34n

Combine like terms: -34n + 34n = 0
12 + 34n = -22 + 0
12 + 34n = -22

Add '-12' to each side of the equation.
12 + -12 + 34n = -22 + -12

Combine like terms: 12 + -12 = 0
0 + 34n = -22 + -12
34n = -22 + -12

Combine like terms: -22 + -12 = -34
34n = -34

Divide each side by '34'.
n = -1

Simplifying
n = -1

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