5(7z-6)+8(9+z)=171

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Solution for 5(7z-6)+8(9+z)=171 equation:


Simplifying
5(7z + -6) + 8(9 + z) = 171

Reorder the terms:
5(-6 + 7z) + 8(9 + z) = 171
(-6 * 5 + 7z * 5) + 8(9 + z) = 171
(-30 + 35z) + 8(9 + z) = 171
-30 + 35z + (9 * 8 + z * 8) = 171
-30 + 35z + (72 + 8z) = 171

Reorder the terms:
-30 + 72 + 35z + 8z = 171

Combine like terms: -30 + 72 = 42
42 + 35z + 8z = 171

Combine like terms: 35z + 8z = 43z
42 + 43z = 171

Solving
42 + 43z = 171

Solving for variable 'z'.

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

Add '-42' to each side of the equation.
42 + -42 + 43z = 171 + -42

Combine like terms: 42 + -42 = 0
0 + 43z = 171 + -42
43z = 171 + -42

Combine like terms: 171 + -42 = 129
43z = 129

Divide each side by '43'.
z = 3

Simplifying
z = 3

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