6+2(z-3)=3z+4

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

Simplifying
6 + 2(z + -3) = 3z + 4

Reorder the terms:
6 + 2(-3 + z) = 3z + 4
6 + (-3 * 2 + z * 2) = 3z + 4
6 + (-6 + 2z) = 3z + 4

Combine like terms: 6 + -6 = 0
0 + 2z = 3z + 4
2z = 3z + 4

Reorder the terms:
2z = 4 + 3z

Solving
2z = 4 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
2z + -3z = 4 + 3z + -3z

Combine like terms: 2z + -3z = -1z
-1z = 4 + 3z + -3z

Combine like terms: 3z + -3z = 0
-1z = 4 + 0
-1z = 4

Divide each side by '-1'.
z = -4

Simplifying
z = -4