3(n-2)-(8n-7)=-6n

Solution for 3(n-2)-(8n-7)=-6n equation:

Simplifying
3(n + -2) + -1(8n + -7) = -6n

Reorder the terms:
3(-2 + n) + -1(8n + -7) = -6n
(-2 * 3 + n * 3) + -1(8n + -7) = -6n
(-6 + 3n) + -1(8n + -7) = -6n

Reorder the terms:
-6 + 3n + -1(-7 + 8n) = -6n
-6 + 3n + (-7 * -1 + 8n * -1) = -6n
-6 + 3n + (7 + -8n) = -6n

Reorder the terms:
-6 + 7 + 3n + -8n = -6n

Combine like terms: -6 + 7 = 1
1 + 3n + -8n = -6n

Combine like terms: 3n + -8n = -5n
1 + -5n = -6n

Solving
1 + -5n = -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
1 + -5n + 6n = -6n + 6n

Combine like terms: -5n + 6n = 1n
1 + 1n = -6n + 6n

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

Add '-1' to each side of the equation.
1 + -1 + 1n = 0 + -1

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

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

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

Simplifying
n = -1