6(3n+2)-3(4n-5n)=10

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Solution for 6(3n+2)-3(4n-5n)=10 equation: 


Simplifying
6(3n + 2) + -3(4n + -5n) = 10

Reorder the terms:
6(2 + 3n) + -3(4n + -5n) = 10
(2 * 6 + 3n * 6) + -3(4n + -5n) = 10
(12 + 18n) + -3(4n + -5n) = 10

Combine like terms: 4n + -5n = -1n
12 + 18n + -3(-1n) = 10

Remove parenthesis around (-1n)
12 + 18n + -3 * -1n = 10

Multiply -3 * -1
12 + 18n + 3n = 10

Combine like terms: 18n + 3n = 21n
12 + 21n = 10

Solving
12 + 21n = 10

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 21n = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 21n = 10 + -12
21n = 10 + -12

Combine like terms: 10 + -12 = -2
21n = -2

Divide each side by '21'.
n = -0.09523809524

Simplifying
n = -0.09523809524

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