-2(3n+1)-(2n-1)=-17

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Solution for -2(3n+1)-(2n-1)=-17 equation:


Simplifying
-2(3n + 1) + -1(2n + -1) = -17

Reorder the terms:
-2(1 + 3n) + -1(2n + -1) = -17
(1 * -2 + 3n * -2) + -1(2n + -1) = -17
(-2 + -6n) + -1(2n + -1) = -17

Reorder the terms:
-2 + -6n + -1(-1 + 2n) = -17
-2 + -6n + (-1 * -1 + 2n * -1) = -17
-2 + -6n + (1 + -2n) = -17

Reorder the terms:
-2 + 1 + -6n + -2n = -17

Combine like terms: -2 + 1 = -1
-1 + -6n + -2n = -17

Combine like terms: -6n + -2n = -8n
-1 + -8n = -17

Solving
-1 + -8n = -17

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + -8n = -17 + 1

Combine like terms: -1 + 1 = 0
0 + -8n = -17 + 1
-8n = -17 + 1

Combine like terms: -17 + 1 = -16
-8n = -16

Divide each side by '-8'.
n = 2

Simplifying
n = 2

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