8(3n-2)=4(7n-1)

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Solution for 8(3n-2)=4(7n-1) equation:


Simplifying
8(3n + -2) = 4(7n + -1)

Reorder the terms:
8(-2 + 3n) = 4(7n + -1)
(-2 * 8 + 3n * 8) = 4(7n + -1)
(-16 + 24n) = 4(7n + -1)

Reorder the terms:
-16 + 24n = 4(-1 + 7n)
-16 + 24n = (-1 * 4 + 7n * 4)
-16 + 24n = (-4 + 28n)

Solving
-16 + 24n = -4 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
-16 + 24n + -28n = -4 + 28n + -28n

Combine like terms: 24n + -28n = -4n
-16 + -4n = -4 + 28n + -28n

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

Add '16' to each side of the equation.
-16 + 16 + -4n = -4 + 16

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

Combine like terms: -4 + 16 = 12
-4n = 12

Divide each side by '-4'.
n = -3

Simplifying
n = -3

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