28-5n=7(n-8)

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Solution for 28-5n=7(n-8) equation:


Simplifying
28 + -5n = 7(n + -8)

Reorder the terms:
28 + -5n = 7(-8 + n)
28 + -5n = (-8 * 7 + n * 7)
28 + -5n = (-56 + 7n)

Solving
28 + -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.
28 + -5n + -7n = -56 + 7n + -7n

Combine like terms: -5n + -7n = -12n
28 + -12n = -56 + 7n + -7n

Combine like terms: 7n + -7n = 0
28 + -12n = -56 + 0
28 + -12n = -56

Add '-28' to each side of the equation.
28 + -28 + -12n = -56 + -28

Combine like terms: 28 + -28 = 0
0 + -12n = -56 + -28
-12n = -56 + -28

Combine like terms: -56 + -28 = -84
-12n = -84

Divide each side by '-12'.
n = 7

Simplifying
n = 7

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