15=8(5n+7)

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Solution for 15=8(5n+7) equation:


Simplifying
15 = 8(5n + 7)

Reorder the terms:
15 = 8(7 + 5n)
15 = (7 * 8 + 5n * 8)
15 = (56 + 40n)

Solving
15 = 56 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
15 + -40n = 56 + 40n + -40n

Combine like terms: 40n + -40n = 0
15 + -40n = 56 + 0
15 + -40n = 56

Add '-15' to each side of the equation.
15 + -15 + -40n = 56 + -15

Combine like terms: 15 + -15 = 0
0 + -40n = 56 + -15
-40n = 56 + -15

Combine like terms: 56 + -15 = 41
-40n = 41

Divide each side by '-40'.
n = -1.025

Simplifying
n = -1.025

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