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

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


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

Reorder the terms:
4(-8 + n) = 7(n + -4)
(-8 * 4 + n * 4) = 7(n + -4)
(-32 + 4n) = 7(n + -4)

Reorder the terms:
-32 + 4n = 7(-4 + n)
-32 + 4n = (-4 * 7 + n * 7)
-32 + 4n = (-28 + 7n)

Solving
-32 + 4n = -28 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-32 + 4n + -7n = -28 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-32 + -3n = -28 + 7n + -7n

Combine like terms: 7n + -7n = 0
-32 + -3n = -28 + 0
-32 + -3n = -28

Add '32' to each side of the equation.
-32 + 32 + -3n = -28 + 32

Combine like terms: -32 + 32 = 0
0 + -3n = -28 + 32
-3n = -28 + 32

Combine like terms: -28 + 32 = 4
-3n = 4

Divide each side by '-3'.
n = -1.333333333

Simplifying
n = -1.333333333

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