-3(z-7)=6-2z

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

Simplifying
-3(z + -7) = 6 + -2z

Reorder the terms:
-3(-7 + z) = 6 + -2z
(-7 * -3 + z * -3) = 6 + -2z
(21 + -3z) = 6 + -2z

Solving
21 + -3z = 6 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
21 + -3z + 2z = 6 + -2z + 2z

Combine like terms: -3z + 2z = -1z
21 + -1z = 6 + -2z + 2z

Combine like terms: -2z + 2z = 0
21 + -1z = 6 + 0
21 + -1z = 6

Add '-21' to each side of the equation.
21 + -21 + -1z = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -1z = 6 + -21
-1z = 6 + -21

Combine like terms: 6 + -21 = -15
-1z = -15

Divide each side by '-1'.
z = 15

Simplifying
z = 15