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

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


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

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

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

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

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

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

Solving
10 = -18 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
10 + 14n = -18 + -14n + 14n

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

Add '-10' to each side of the equation.
10 + -10 + 14n = -18 + -10

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

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

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

Simplifying
n = -2

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