(7z+3)-(6z-3)=15z+6

Solution for (7z+3)-(6z-3)=15z+6 equation:

Simplifying
(7z + 3) + -1(6z + -3) = 15z + 6

Reorder the terms:
(3 + 7z) + -1(6z + -3) = 15z + 6

Remove parenthesis around (3 + 7z)
3 + 7z + -1(6z + -3) = 15z + 6

Reorder the terms:
3 + 7z + -1(-3 + 6z) = 15z + 6
3 + 7z + (-3 * -1 + 6z * -1) = 15z + 6
3 + 7z + (3 + -6z) = 15z + 6

Reorder the terms:
3 + 3 + 7z + -6z = 15z + 6

Combine like terms: 3 + 3 = 6
6 + 7z + -6z = 15z + 6

Combine like terms: 7z + -6z = 1z
6 + 1z = 15z + 6

Reorder the terms:
6 + 1z = 6 + 15z

Add '-6' to each side of the equation.
6 + -6 + 1z = 6 + -6 + 15z

Combine like terms: 6 + -6 = 0
0 + 1z = 6 + -6 + 15z
1z = 6 + -6 + 15z

Combine like terms: 6 + -6 = 0
1z = 0 + 15z
1z = 15z

Solving
1z = 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
1z + -15z = 15z + -15z

Combine like terms: 1z + -15z = -14z
-14z = 15z + -15z

Combine like terms: 15z + -15z = 0
-14z = 0

Divide each side by '-14'.
z = 0

Simplifying
z = 0