3(2n-1)-5(4n+3)=10

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Solution for 3(2n-1)-5(4n+3)=10 equation: 


Simplifying
3(2n + -1) + -5(4n + 3) = 10

Reorder the terms:
3(-1 + 2n) + -5(4n + 3) = 10
(-1 * 3 + 2n * 3) + -5(4n + 3) = 10
(-3 + 6n) + -5(4n + 3) = 10

Reorder the terms:
-3 + 6n + -5(3 + 4n) = 10
-3 + 6n + (3 * -5 + 4n * -5) = 10
-3 + 6n + (-15 + -20n) = 10

Reorder the terms:
-3 + -15 + 6n + -20n = 10

Combine like terms: -3 + -15 = -18
-18 + 6n + -20n = 10

Combine like terms: 6n + -20n = -14n
-18 + -14n = 10

Solving
-18 + -14n = 10

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 + -14n = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -14n = 10 + 18
-14n = 10 + 18

Combine like terms: 10 + 18 = 28
-14n = 28

Divide each side by '-14'.
n = -2

Simplifying
n = -2

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