5n-44=7(n-8)

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Solution for 5n-44=7(n-8) equation:


Simplifying
5n + -44 = 7(n + -8)

Reorder the terms:
-44 + 5n = 7(n + -8)

Reorder the terms:
-44 + 5n = 7(-8 + n)
-44 + 5n = (-8 * 7 + n * 7)
-44 + 5n = (-56 + 7n)

Solving
-44 + 5n = -56 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-44 + 5n + -7n = -56 + 7n + -7n

Combine like terms: 5n + -7n = -2n
-44 + -2n = -56 + 7n + -7n

Combine like terms: 7n + -7n = 0
-44 + -2n = -56 + 0
-44 + -2n = -56

Add '44' to each side of the equation.
-44 + 44 + -2n = -56 + 44

Combine like terms: -44 + 44 = 0
0 + -2n = -56 + 44
-2n = -56 + 44

Combine like terms: -56 + 44 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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