2(4z+3)=6(z+9)-3

Solution for 2(4z+3)=6(z+9)-3 equation:

Simplifying
2(4z + 3) = 6(z + 9) + -3

Reorder the terms:
2(3 + 4z) = 6(z + 9) + -3
(3 * 2 + 4z * 2) = 6(z + 9) + -3
(6 + 8z) = 6(z + 9) + -3

Reorder the terms:
6 + 8z = 6(9 + z) + -3
6 + 8z = (9 * 6 + z * 6) + -3
6 + 8z = (54 + 6z) + -3

Reorder the terms:
6 + 8z = 54 + -3 + 6z

Combine like terms: 54 + -3 = 51
6 + 8z = 51 + 6z

Solving
6 + 8z = 51 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 8z + -6z = 51 + 6z + -6z

Combine like terms: 8z + -6z = 2z
6 + 2z = 51 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + 2z = 51 + 0
6 + 2z = 51

Add '-6' to each side of the equation.
6 + -6 + 2z = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 2z = 51 + -6
2z = 51 + -6

Combine like terms: 51 + -6 = 45
2z = 45

Divide each side by '2'.
z = 22.5

Simplifying
z = 22.5