3(3z+5)7=89

Solution for 3(3z+5)7=89 equation:

Simplifying
3(3z + 5) * 7 = 89

Reorder the terms:
3(5 + 3z) * 7 = 89

Reorder the terms for easier multiplication:
3 * 7(5 + 3z) = 89

Multiply 3 * 7
21(5 + 3z) = 89
(5 * 21 + 3z * 21) = 89
(105 + 63z) = 89

Solving
105 + 63z = 89

Solving for variable 'z'.

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

Add '-105' to each side of the equation.
105 + -105 + 63z = 89 + -105

Combine like terms: 105 + -105 = 0
0 + 63z = 89 + -105
63z = 89 + -105

Combine like terms: 89 + -105 = -16
63z = -16

Divide each side by '63'.
z = -0.253968254

Simplifying
z = -0.253968254