7(n-4)=-7(4-2n)

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Solution for 7(n-4)=-7(4-2n) equation:


Simplifying
7(n + -4) = -7(4 + -2n)

Reorder the terms:
7(-4 + n) = -7(4 + -2n)
(-4 * 7 + n * 7) = -7(4 + -2n)
(-28 + 7n) = -7(4 + -2n)
-28 + 7n = (4 * -7 + -2n * -7)
-28 + 7n = (-28 + 14n)

Add '28' to each side of the equation.
-28 + 28 + 7n = -28 + 28 + 14n

Combine like terms: -28 + 28 = 0
0 + 7n = -28 + 28 + 14n
7n = -28 + 28 + 14n

Combine like terms: -28 + 28 = 0
7n = 0 + 14n
7n = 14n

Solving
7n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
7n + -14n = 14n + -14n

Combine like terms: 7n + -14n = -7n
-7n = 14n + -14n

Combine like terms: 14n + -14n = 0
-7n = 0

Divide each side by '-7'.
n = 0

Simplifying
n = 0

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