4(5n-7)=8(2n-4)

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Solution for 4(5n-7)=8(2n-4) equation:


Simplifying
4(5n + -7) = 8(2n + -4)

Reorder the terms:
4(-7 + 5n) = 8(2n + -4)
(-7 * 4 + 5n * 4) = 8(2n + -4)
(-28 + 20n) = 8(2n + -4)

Reorder the terms:
-28 + 20n = 8(-4 + 2n)
-28 + 20n = (-4 * 8 + 2n * 8)
-28 + 20n = (-32 + 16n)

Solving
-28 + 20n = -32 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
-28 + 20n + -16n = -32 + 16n + -16n

Combine like terms: 20n + -16n = 4n
-28 + 4n = -32 + 16n + -16n

Combine like terms: 16n + -16n = 0
-28 + 4n = -32 + 0
-28 + 4n = -32

Add '28' to each side of the equation.
-28 + 28 + 4n = -32 + 28

Combine like terms: -28 + 28 = 0
0 + 4n = -32 + 28
4n = -32 + 28

Combine like terms: -32 + 28 = -4
4n = -4

Divide each side by '4'.
n = -1

Simplifying
n = -1

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