8(2n-4)=-7n+8(3n-6)

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Solution for 8(2n-4)=-7n+8(3n-6) equation:


Simplifying
8(2n + -4) = -7n + 8(3n + -6)

Reorder the terms:
8(-4 + 2n) = -7n + 8(3n + -6)
(-4 * 8 + 2n * 8) = -7n + 8(3n + -6)
(-32 + 16n) = -7n + 8(3n + -6)

Reorder the terms:
-32 + 16n = -7n + 8(-6 + 3n)
-32 + 16n = -7n + (-6 * 8 + 3n * 8)
-32 + 16n = -7n + (-48 + 24n)

Reorder the terms:
-32 + 16n = -48 + -7n + 24n

Combine like terms: -7n + 24n = 17n
-32 + 16n = -48 + 17n

Solving
-32 + 16n = -48 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
-32 + 16n + -17n = -48 + 17n + -17n

Combine like terms: 16n + -17n = -1n
-32 + -1n = -48 + 17n + -17n

Combine like terms: 17n + -17n = 0
-32 + -1n = -48 + 0
-32 + -1n = -48

Add '32' to each side of the equation.
-32 + 32 + -1n = -48 + 32

Combine like terms: -32 + 32 = 0
0 + -1n = -48 + 32
-1n = -48 + 32

Combine like terms: -48 + 32 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16

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