3z+30=6z-10

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Solution for 3z+30=6z-10 equation:


Simplifying
3z + 30 = 6z + -10

Reorder the terms:
30 + 3z = 6z + -10

Reorder the terms:
30 + 3z = -10 + 6z

Solving
30 + 3z = -10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
30 + 3z + -6z = -10 + 6z + -6z

Combine like terms: 3z + -6z = -3z
30 + -3z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
30 + -3z = -10 + 0
30 + -3z = -10

Add '-30' to each side of the equation.
30 + -30 + -3z = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -3z = -10 + -30
-3z = -10 + -30

Combine like terms: -10 + -30 = -40
-3z = -40

Divide each side by '-3'.
z = 13.33333333

Simplifying
z = 13.33333333

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