48-n=4(n+7)

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Solution for 48-n=4(n+7) equation:


Simplifying
48 + -1n = 4(n + 7)

Reorder the terms:
48 + -1n = 4(7 + n)
48 + -1n = (7 * 4 + n * 4)
48 + -1n = (28 + 4n)

Solving
48 + -1n = 28 + 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.
48 + -1n + -4n = 28 + 4n + -4n

Combine like terms: -1n + -4n = -5n
48 + -5n = 28 + 4n + -4n

Combine like terms: 4n + -4n = 0
48 + -5n = 28 + 0
48 + -5n = 28

Add '-48' to each side of the equation.
48 + -48 + -5n = 28 + -48

Combine like terms: 48 + -48 = 0
0 + -5n = 28 + -48
-5n = 28 + -48

Combine like terms: 28 + -48 = -20
-5n = -20

Divide each side by '-5'.
n = 4

Simplifying
n = 4

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