-n+40=3(5n+8)

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Solution for -n+40=3(5n+8) equation: 


Simplifying
-1n + 40 = 3(5n + 8)

Reorder the terms:
40 + -1n = 3(5n + 8)

Reorder the terms:
40 + -1n = 3(8 + 5n)
40 + -1n = (8 * 3 + 5n * 3)
40 + -1n = (24 + 15n)

Solving
40 + -1n = 24 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
40 + -1n + -15n = 24 + 15n + -15n

Combine like terms: -1n + -15n = -16n
40 + -16n = 24 + 15n + -15n

Combine like terms: 15n + -15n = 0
40 + -16n = 24 + 0
40 + -16n = 24

Add '-40' to each side of the equation.
40 + -40 + -16n = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -16n = 24 + -40
-16n = 24 + -40

Combine like terms: 24 + -40 = -16
-16n = -16

Divide each side by '-16'.
n = 1

Simplifying
n = 1

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