3(3z+11)-z=31

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Solution for 3(3z+11)-z=31 equation:


Simplifying
3(3z + 11) + -1z = 31

Reorder the terms:
3(11 + 3z) + -1z = 31
(11 * 3 + 3z * 3) + -1z = 31
(33 + 9z) + -1z = 31

Combine like terms: 9z + -1z = 8z
33 + 8z = 31

Solving
33 + 8z = 31

Solving for variable 'z'.

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

Add '-33' to each side of the equation.
33 + -33 + 8z = 31 + -33

Combine like terms: 33 + -33 = 0
0 + 8z = 31 + -33
8z = 31 + -33

Combine like terms: 31 + -33 = -2
8z = -2

Divide each side by '8'.
z = -0.25

Simplifying
z = -0.25

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