6z-8=3z+10

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Solution for 6z-8=3z+10 equation:


Simplifying
6z + -8 = 3z + 10

Reorder the terms:
-8 + 6z = 3z + 10

Reorder the terms:
-8 + 6z = 10 + 3z

Solving
-8 + 6z = 10 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-8 + 6z + -3z = 10 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-8 + 3z = 10 + 3z + -3z

Combine like terms: 3z + -3z = 0
-8 + 3z = 10 + 0
-8 + 3z = 10

Add '8' to each side of the equation.
-8 + 8 + 3z = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = 10 + 8
3z = 10 + 8

Combine like terms: 10 + 8 = 18
3z = 18

Divide each side by '3'.
z = 6

Simplifying
z = 6

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