40-3n=-2(7n-1)-8n

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Solution for 40-3n=-2(7n-1)-8n equation:


Simplifying
40 + -3n = -2(7n + -1) + -8n

Reorder the terms:
40 + -3n = -2(-1 + 7n) + -8n
40 + -3n = (-1 * -2 + 7n * -2) + -8n
40 + -3n = (2 + -14n) + -8n

Combine like terms: -14n + -8n = -22n
40 + -3n = 2 + -22n

Solving
40 + -3n = 2 + -22n

Solving for variable 'n'.

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

Add '22n' to each side of the equation.
40 + -3n + 22n = 2 + -22n + 22n

Combine like terms: -3n + 22n = 19n
40 + 19n = 2 + -22n + 22n

Combine like terms: -22n + 22n = 0
40 + 19n = 2 + 0
40 + 19n = 2

Add '-40' to each side of the equation.
40 + -40 + 19n = 2 + -40

Combine like terms: 40 + -40 = 0
0 + 19n = 2 + -40
19n = 2 + -40

Combine like terms: 2 + -40 = -38
19n = -38

Divide each side by '19'.
n = -2

Simplifying
n = -2

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