3(2z-7)-2(z-3)=-9

Solution for 3(2z-7)-2(z-3)=-9 equation:

Simplifying
3(2z + -7) + -2(z + -3) = -9

Reorder the terms:
3(-7 + 2z) + -2(z + -3) = -9
(-7 * 3 + 2z * 3) + -2(z + -3) = -9
(-21 + 6z) + -2(z + -3) = -9

Reorder the terms:
-21 + 6z + -2(-3 + z) = -9
-21 + 6z + (-3 * -2 + z * -2) = -9
-21 + 6z + (6 + -2z) = -9

Reorder the terms:
-21 + 6 + 6z + -2z = -9

Combine like terms: -21 + 6 = -15
-15 + 6z + -2z = -9

Combine like terms: 6z + -2z = 4z
-15 + 4z = -9

Solving
-15 + 4z = -9

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + 4z = -9 + 15

Combine like terms: -15 + 15 = 0
0 + 4z = -9 + 15
4z = -9 + 15

Combine like terms: -9 + 15 = 6
4z = 6

Divide each side by '4'.
z = 1.5

Simplifying
z = 1.5