z+30=10z-15

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Solution for z+30=10z-15 equation:


Simplifying
z + 30 = 10z + -15

Reorder the terms:
30 + z = 10z + -15

Reorder the terms:
30 + z = -15 + 10z

Solving
30 + z = -15 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
30 + z + -10z = -15 + 10z + -10z

Combine like terms: z + -10z = -9z
30 + -9z = -15 + 10z + -10z

Combine like terms: 10z + -10z = 0
30 + -9z = -15 + 0
30 + -9z = -15

Add '-30' to each side of the equation.
30 + -30 + -9z = -15 + -30

Combine like terms: 30 + -30 = 0
0 + -9z = -15 + -30
-9z = -15 + -30

Combine like terms: -15 + -30 = -45
-9z = -45

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

Simplifying
z = 5

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