7(3-5z)-2(1-32)=82-1

Solution for 7(3-5z)-2(1-32)=82-1 equation:

Simplifying
7(3 + -5z) + -2(1 + -32) = 82 + -1
(3 * 7 + -5z * 7) + -2(1 + -32) = 82 + -1
(21 + -35z) + -2(1 + -32) = 82 + -1

Combine like terms: 1 + -32 = -31
21 + -35z + -2(-31) = 82 + -1

Multiply -2 * -31
21 + -35z + 62 = 82 + -1

Reorder the terms:
21 + 62 + -35z = 82 + -1

Combine like terms: 21 + 62 = 83
83 + -35z = 82 + -1

Combine like terms: 82 + -1 = 81
83 + -35z = 81

Solving
83 + -35z = 81

Solving for variable 'z'.

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

Add '-83' to each side of the equation.
83 + -83 + -35z = 81 + -83

Combine like terms: 83 + -83 = 0
0 + -35z = 81 + -83
-35z = 81 + -83

Combine like terms: 81 + -83 = -2
-35z = -2

Divide each side by '-35'.
z = 0.05714285714

Simplifying
z = 0.05714285714