z+58=6z+38

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Solution for z+58=6z+38 equation: 


Simplifying
z + 58 = 6z + 38

Reorder the terms:
58 + z = 6z + 38

Reorder the terms:
58 + z = 38 + 6z

Solving
58 + z = 38 + 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.
58 + z + -6z = 38 + 6z + -6z

Combine like terms: z + -6z = -5z
58 + -5z = 38 + 6z + -6z

Combine like terms: 6z + -6z = 0
58 + -5z = 38 + 0
58 + -5z = 38

Add '-58' to each side of the equation.
58 + -58 + -5z = 38 + -58

Combine like terms: 58 + -58 = 0
0 + -5z = 38 + -58
-5z = 38 + -58

Combine like terms: 38 + -58 = -20
-5z = -20

Divide each side by '-5'.
z = 4

Simplifying
z = 4

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