3(2n-5)-(4n+3)=8

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Solution for 3(2n-5)-(4n+3)=8 equation: 


Simplifying
3(2n + -5) + -1(4n + 3) = 8

Reorder the terms:
3(-5 + 2n) + -1(4n + 3) = 8
(-5 * 3 + 2n * 3) + -1(4n + 3) = 8
(-15 + 6n) + -1(4n + 3) = 8

Reorder the terms:
-15 + 6n + -1(3 + 4n) = 8
-15 + 6n + (3 * -1 + 4n * -1) = 8
-15 + 6n + (-3 + -4n) = 8

Reorder the terms:
-15 + -3 + 6n + -4n = 8

Combine like terms: -15 + -3 = -18
-18 + 6n + -4n = 8

Combine like terms: 6n + -4n = 2n
-18 + 2n = 8

Solving
-18 + 2n = 8

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 2n = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 2n = 8 + 18
2n = 8 + 18

Combine like terms: 8 + 18 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13

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