7n-6+2n=2(4n-3)

Solution for 7n-6+2n=2(4n-3) equation:

Simplifying
7n + -6 + 2n = 2(4n + -3)

Reorder the terms:
-6 + 7n + 2n = 2(4n + -3)

Combine like terms: 7n + 2n = 9n
-6 + 9n = 2(4n + -3)

Reorder the terms:
-6 + 9n = 2(-3 + 4n)
-6 + 9n = (-3 * 2 + 4n * 2)
-6 + 9n = (-6 + 8n)

Add '6' to each side of the equation.
-6 + 6 + 9n = -6 + 6 + 8n

Combine like terms: -6 + 6 = 0
0 + 9n = -6 + 6 + 8n
9n = -6 + 6 + 8n

Combine like terms: -6 + 6 = 0
9n = 0 + 8n
9n = 8n

Solving
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.
9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
1n = 8n + -8n

Combine like terms: 8n + -8n = 0
1n = 0

Divide each side by '1'.
n = 0

Simplifying
n = 0