23z-10+15z=47z-47

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Solution for 23z-10+15z=47z-47 equation: 


Simplifying
23z + -10 + 15z = 47z + -47

Reorder the terms:
-10 + 23z + 15z = 47z + -47

Combine like terms: 23z + 15z = 38z
-10 + 38z = 47z + -47

Reorder the terms:
-10 + 38z = -47 + 47z

Solving
-10 + 38z = -47 + 47z

Solving for variable 'z'.

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

Add '-47z' to each side of the equation.
-10 + 38z + -47z = -47 + 47z + -47z

Combine like terms: 38z + -47z = -9z
-10 + -9z = -47 + 47z + -47z

Combine like terms: 47z + -47z = 0
-10 + -9z = -47 + 0
-10 + -9z = -47

Add '10' to each side of the equation.
-10 + 10 + -9z = -47 + 10

Combine like terms: -10 + 10 = 0
0 + -9z = -47 + 10
-9z = -47 + 10

Combine like terms: -47 + 10 = -37
-9z = -37

Divide each side by '-9'.
z = 4.111111111

Simplifying
z = 4.111111111

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