8(2n-5)=3(6n-2)

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Solution for 8(2n-5)=3(6n-2) equation:


Simplifying
8(2n + -5) = 3(6n + -2)

Reorder the terms:
8(-5 + 2n) = 3(6n + -2)
(-5 * 8 + 2n * 8) = 3(6n + -2)
(-40 + 16n) = 3(6n + -2)

Reorder the terms:
-40 + 16n = 3(-2 + 6n)
-40 + 16n = (-2 * 3 + 6n * 3)
-40 + 16n = (-6 + 18n)

Solving
-40 + 16n = -6 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-40 + 16n + -18n = -6 + 18n + -18n

Combine like terms: 16n + -18n = -2n
-40 + -2n = -6 + 18n + -18n

Combine like terms: 18n + -18n = 0
-40 + -2n = -6 + 0
-40 + -2n = -6

Add '40' to each side of the equation.
-40 + 40 + -2n = -6 + 40

Combine like terms: -40 + 40 = 0
0 + -2n = -6 + 40
-2n = -6 + 40

Combine like terms: -6 + 40 = 34
-2n = 34

Divide each side by '-2'.
n = -17

Simplifying
n = -17

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