3z+8=2w+22

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Solution for 3z+8=2w+22 equation:


Simplifying
3z + 8 = 2w + 22

Reorder the terms:
8 + 3z = 2w + 22

Reorder the terms:
8 + 3z = 22 + 2w

Solving
8 + 3z = 22 + 2w

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + 3z = 22 + -8 + 2w

Combine like terms: 8 + -8 = 0
0 + 3z = 22 + -8 + 2w
3z = 22 + -8 + 2w

Combine like terms: 22 + -8 = 14
3z = 14 + 2w

Divide each side by '3'.
z = 4.666666667 + 0.6666666667w

Simplifying
z = 4.666666667 + 0.6666666667w

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