8z-2z=3(3z+11)-z

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Solution for 8z-2z=3(3z+11)-z equation:


Simplifying
8z + -2z = 3(3z + 11) + -1z

Combine like terms: 8z + -2z = 6z
6z = 3(3z + 11) + -1z

Reorder the terms:
6z = 3(11 + 3z) + -1z
6z = (11 * 3 + 3z * 3) + -1z
6z = (33 + 9z) + -1z

Combine like terms: 9z + -1z = 8z
6z = 33 + 8z

Solving
6z = 33 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6z + -8z = 33 + 8z + -8z

Combine like terms: 6z + -8z = -2z
-2z = 33 + 8z + -8z

Combine like terms: 8z + -8z = 0
-2z = 33 + 0
-2z = 33

Divide each side by '-2'.
z = -16.5

Simplifying
z = -16.5

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