48=4(5+7n)-4(4n-7)

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Solution for 48=4(5+7n)-4(4n-7) equation: 


Simplifying
48 = 4(5 + 7n) + -4(4n + -7)
48 = (5 * 4 + 7n * 4) + -4(4n + -7)
48 = (20 + 28n) + -4(4n + -7)

Reorder the terms:
48 = 20 + 28n + -4(-7 + 4n)
48 = 20 + 28n + (-7 * -4 + 4n * -4)
48 = 20 + 28n + (28 + -16n)

Reorder the terms:
48 = 20 + 28 + 28n + -16n

Combine like terms: 20 + 28 = 48
48 = 48 + 28n + -16n

Combine like terms: 28n + -16n = 12n
48 = 48 + 12n

Add '-48' to each side of the equation.
48 + -48 = 48 + -48 + 12n

Combine like terms: 48 + -48 = 0
0 = 48 + -48 + 12n

Combine like terms: 48 + -48 = 0
0 = 0 + 12n
0 = 12n

Solving
0 = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
0 + -12n = 12n + -12n
Remove the zero:
-12n = 12n + -12n

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

Divide each side by '-12'.
n = 0

Simplifying
n = 0

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