7n-28=-4(n-4)

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Solution for 7n-28=-4(n-4) equation:


Simplifying
7n + -28 = -4(n + -4)

Reorder the terms:
-28 + 7n = -4(n + -4)

Reorder the terms:
-28 + 7n = -4(-4 + n)
-28 + 7n = (-4 * -4 + n * -4)
-28 + 7n = (16 + -4n)

Solving
-28 + 7n = 16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-28 + 7n + 4n = 16 + -4n + 4n

Combine like terms: 7n + 4n = 11n
-28 + 11n = 16 + -4n + 4n

Combine like terms: -4n + 4n = 0
-28 + 11n = 16 + 0
-28 + 11n = 16

Add '28' to each side of the equation.
-28 + 28 + 11n = 16 + 28

Combine like terms: -28 + 28 = 0
0 + 11n = 16 + 28
11n = 16 + 28

Combine like terms: 16 + 28 = 44
11n = 44

Divide each side by '11'.
n = 4

Simplifying
n = 4

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