3z-2=-47+8z

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Solution for 3z-2=-47+8z equation:


Simplifying
3z + -2 = -47 + 8z

Reorder the terms:
-2 + 3z = -47 + 8z

Solving
-2 + 3z = -47 + 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.
-2 + 3z + -8z = -47 + 8z + -8z

Combine like terms: 3z + -8z = -5z
-2 + -5z = -47 + 8z + -8z

Combine like terms: 8z + -8z = 0
-2 + -5z = -47 + 0
-2 + -5z = -47

Add '2' to each side of the equation.
-2 + 2 + -5z = -47 + 2

Combine like terms: -2 + 2 = 0
0 + -5z = -47 + 2
-5z = -47 + 2

Combine like terms: -47 + 2 = -45
-5z = -45

Divide each side by '-5'.
z = 9

Simplifying
z = 9

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