6(2n-7)=-3(3n+2)

Solution for 6(2n-7)=-3(3n+2) equation:

Simplifying
6(2n + -7) = -3(3n + 2)

Reorder the terms:
6(-7 + 2n) = -3(3n + 2)
(-7 * 6 + 2n * 6) = -3(3n + 2)
(-42 + 12n) = -3(3n + 2)

Reorder the terms:
-42 + 12n = -3(2 + 3n)
-42 + 12n = (2 * -3 + 3n * -3)
-42 + 12n = (-6 + -9n)

Solving
-42 + 12n = -6 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-42 + 12n + 9n = -6 + -9n + 9n

Combine like terms: 12n + 9n = 21n
-42 + 21n = -6 + -9n + 9n

Combine like terms: -9n + 9n = 0
-42 + 21n = -6 + 0
-42 + 21n = -6

Add '42' to each side of the equation.
-42 + 42 + 21n = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 21n = -6 + 42
21n = -6 + 42

Combine like terms: -6 + 42 = 36
21n = 36

Divide each side by '21'.
n = 1.714285714

Simplifying
n = 1.714285714