Reorder the terms:
6(-6 + 2n) + -3(7n + -10) = -9n + n
(-6 * 6 + 2n * 6) + -3(7n + -10) = -9n + n
(-36 + 12n) + -3(7n + -10) = -9n + n
Reorder the terms:
-36 + 12n + -3(-10 + 7n) = -9n + n
-36 + 12n + (-10 * -3 + 7n * -3) = -9n + n
-36 + 12n + (30 + -21n) = -9n + n
Reorder the terms:
-36 + 30 + 12n + -21n = -9n + n
Combine like terms: -36 + 30 = -6
-6 + 12n + -21n = -9n + n
Combine like terms: 12n + -21n = -9n
-6 + -9n = -9n + n
Combine like terms: -9n + n = -8n
-6 + -9n = -8n
Solving
-6 + -9n = -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
-6 + -9n + 8n = -8n + 8n
Combine like terms: -9n + 8n = -1n
-6 + -1n = -8n + 8n
Combine like terms: -8n + 8n = 0
-6 + -1n = 0
Add '6' to each side of the equation.
-6 + 6 + -1n = 0 + 6
Combine like terms: -6 + 6 = 0
0 + -1n = 0 + 6
-1n = 0 + 6
Combine like terms: 0 + 6 = 6
-1n = 6
Divide each side by '-1'.
n = -6
Simplifying
n = -6
