3Z+5Z-3+4=33+2Z

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Solution for 3Z+5Z-3+4=33+2Z equation:


Simplifying
3Z + 5Z + -3 + 4 = 33 + 2Z

Reorder the terms:
-3 + 4 + 3Z + 5Z = 33 + 2Z

Combine like terms: -3 + 4 = 1
1 + 3Z + 5Z = 33 + 2Z

Combine like terms: 3Z + 5Z = 8Z
1 + 8Z = 33 + 2Z

Solving
1 + 8Z = 33 + 2Z

Solving for variable 'Z'.

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

Add '-2Z' to each side of the equation.
1 + 8Z + -2Z = 33 + 2Z + -2Z

Combine like terms: 8Z + -2Z = 6Z
1 + 6Z = 33 + 2Z + -2Z

Combine like terms: 2Z + -2Z = 0
1 + 6Z = 33 + 0
1 + 6Z = 33

Add '-1' to each side of the equation.
1 + -1 + 6Z = 33 + -1

Combine like terms: 1 + -1 = 0
0 + 6Z = 33 + -1
6Z = 33 + -1

Combine like terms: 33 + -1 = 32
6Z = 32

Divide each side by '6'.
Z = 5.333333333

Simplifying
Z = 5.333333333

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