8z-17+21z-42=20z-3

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Solution for 8z-17+21z-42=20z-3 equation:


Simplifying
8z + -17 + 21z + -42 = 20z + -3

Reorder the terms:
-17 + -42 + 8z + 21z = 20z + -3

Combine like terms: -17 + -42 = -59
-59 + 8z + 21z = 20z + -3

Combine like terms: 8z + 21z = 29z
-59 + 29z = 20z + -3

Reorder the terms:
-59 + 29z = -3 + 20z

Solving
-59 + 29z = -3 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
-59 + 29z + -20z = -3 + 20z + -20z

Combine like terms: 29z + -20z = 9z
-59 + 9z = -3 + 20z + -20z

Combine like terms: 20z + -20z = 0
-59 + 9z = -3 + 0
-59 + 9z = -3

Add '59' to each side of the equation.
-59 + 59 + 9z = -3 + 59

Combine like terms: -59 + 59 = 0
0 + 9z = -3 + 59
9z = -3 + 59

Combine like terms: -3 + 59 = 56
9z = 56

Divide each side by '9'.
z = 6.222222222

Simplifying
z = 6.222222222

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