6(z+7)=3(z-9)

Solution for 6(z+7)=3(z-9) equation:

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

Reorder the terms:
6(7 + z) = 3(z + -9)
(7 * 6 + z * 6) = 3(z + -9)
(42 + 6z) = 3(z + -9)

Reorder the terms:
42 + 6z = 3(-9 + z)
42 + 6z = (-9 * 3 + z * 3)
42 + 6z = (-27 + 3z)

Solving
42 + 6z = -27 + 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.
42 + 6z + -3z = -27 + 3z + -3z

Combine like terms: 6z + -3z = 3z
42 + 3z = -27 + 3z + -3z

Combine like terms: 3z + -3z = 0
42 + 3z = -27 + 0
42 + 3z = -27

Add '-42' to each side of the equation.
42 + -42 + 3z = -27 + -42

Combine like terms: 42 + -42 = 0
0 + 3z = -27 + -42
3z = -27 + -42

Combine like terms: -27 + -42 = -69
3z = -69

Divide each side by '3'.
z = -23

Simplifying
z = -23