3z+3=8z-20

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Solution for 3z+3=8z-20 equation:


Simplifying
3z + 3 = 8z + -20

Reorder the terms:
3 + 3z = 8z + -20

Reorder the terms:
3 + 3z = -20 + 8z

Solving
3 + 3z = -20 + 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.
3 + 3z + -8z = -20 + 8z + -8z

Combine like terms: 3z + -8z = -5z
3 + -5z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
3 + -5z = -20 + 0
3 + -5z = -20

Add '-3' to each side of the equation.
3 + -3 + -5z = -20 + -3

Combine like terms: 3 + -3 = 0
0 + -5z = -20 + -3
-5z = -20 + -3

Combine like terms: -20 + -3 = -23
-5z = -23

Divide each side by '-5'.
z = 4.6

Simplifying
z = 4.6

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