3z-4=6z-19

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Solution for 3z-4=6z-19 equation:


Simplifying
3z + -4 = 6z + -19

Reorder the terms:
-4 + 3z = 6z + -19

Reorder the terms:
-4 + 3z = -19 + 6z

Solving
-4 + 3z = -19 + 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.
-4 + 3z + -6z = -19 + 6z + -6z

Combine like terms: 3z + -6z = -3z
-4 + -3z = -19 + 6z + -6z

Combine like terms: 6z + -6z = 0
-4 + -3z = -19 + 0
-4 + -3z = -19

Add '4' to each side of the equation.
-4 + 4 + -3z = -19 + 4

Combine like terms: -4 + 4 = 0
0 + -3z = -19 + 4
-3z = -19 + 4

Combine like terms: -19 + 4 = -15
-3z = -15

Divide each side by '-3'.
z = 5

Simplifying
z = 5

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