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

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


Simplifying
40 = -2n + -7(2 + -8n)
40 = -2n + (2 * -7 + -8n * -7)
40 = -2n + (-14 + 56n)

Reorder the terms:
40 = -14 + -2n + 56n

Combine like terms: -2n + 56n = 54n
40 = -14 + 54n

Solving
40 = -14 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
40 + -54n = -14 + 54n + -54n

Combine like terms: 54n + -54n = 0
40 + -54n = -14 + 0
40 + -54n = -14

Add '-40' to each side of the equation.
40 + -40 + -54n = -14 + -40

Combine like terms: 40 + -40 = 0
0 + -54n = -14 + -40
-54n = -14 + -40

Combine like terms: -14 + -40 = -54
-54n = -54

Divide each side by '-54'.
n = 1

Simplifying
n = 1

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