8z+5=48z+33

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Solution for 8z+5=48z+33 equation:


Simplifying
8z + 5 = 48z + 33

Reorder the terms:
5 + 8z = 48z + 33

Reorder the terms:
5 + 8z = 33 + 48z

Solving
5 + 8z = 33 + 48z

Solving for variable 'z'.

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

Add '-48z' to each side of the equation.
5 + 8z + -48z = 33 + 48z + -48z

Combine like terms: 8z + -48z = -40z
5 + -40z = 33 + 48z + -48z

Combine like terms: 48z + -48z = 0
5 + -40z = 33 + 0
5 + -40z = 33

Add '-5' to each side of the equation.
5 + -5 + -40z = 33 + -5

Combine like terms: 5 + -5 = 0
0 + -40z = 33 + -5
-40z = 33 + -5

Combine like terms: 33 + -5 = 28
-40z = 28

Divide each side by '-40'.
z = -0.7

Simplifying
z = -0.7

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