3(9n-2)=10n-3(4-6n)

Solution for 3(9n-2)=10n-3(4-6n) equation:

Simplifying
3(9n + -2) = 10n + -3(4 + -6n)

Reorder the terms:
3(-2 + 9n) = 10n + -3(4 + -6n)
(-2 * 3 + 9n * 3) = 10n + -3(4 + -6n)
(-6 + 27n) = 10n + -3(4 + -6n)
-6 + 27n = 10n + (4 * -3 + -6n * -3)
-6 + 27n = 10n + (-12 + 18n)

Reorder the terms:
-6 + 27n = -12 + 10n + 18n

Combine like terms: 10n + 18n = 28n
-6 + 27n = -12 + 28n

Solving
-6 + 27n = -12 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
-6 + 27n + -28n = -12 + 28n + -28n

Combine like terms: 27n + -28n = -1n
-6 + -1n = -12 + 28n + -28n

Combine like terms: 28n + -28n = 0
-6 + -1n = -12 + 0
-6 + -1n = -12

Add '6' to each side of the equation.
-6 + 6 + -1n = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = -12 + 6
-1n = -12 + 6

Combine like terms: -12 + 6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6