3z-19=2z-4

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Solution for 3z-19=2z-4 equation:


Simplifying
3z + -19 = 2z + -4

Reorder the terms:
-19 + 3z = 2z + -4

Reorder the terms:
-19 + 3z = -4 + 2z

Solving
-19 + 3z = -4 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-19 + 3z + -2z = -4 + 2z + -2z

Combine like terms: 3z + -2z = 1z
-19 + 1z = -4 + 2z + -2z

Combine like terms: 2z + -2z = 0
-19 + 1z = -4 + 0
-19 + 1z = -4

Add '19' to each side of the equation.
-19 + 19 + 1z = -4 + 19

Combine like terms: -19 + 19 = 0
0 + 1z = -4 + 19
1z = -4 + 19

Combine like terms: -4 + 19 = 15
1z = 15

Divide each side by '1'.
z = 15

Simplifying
z = 15

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