3z+2-z=10+z+9

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Solution for 3z+2-z=10+z+9 equation:


Simplifying
3z + 2 + -1z = 10 + z + 9

Reorder the terms:
2 + 3z + -1z = 10 + z + 9

Combine like terms: 3z + -1z = 2z
2 + 2z = 10 + z + 9

Reorder the terms:
2 + 2z = 10 + 9 + z

Combine like terms: 10 + 9 = 19
2 + 2z = 19 + z

Solving
2 + 2z = 19 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
2 + 2z + -1z = 19 + z + -1z

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

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

Add '-2' to each side of the equation.
2 + -2 + 1z = 19 + -2

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

Combine like terms: 19 + -2 = 17
1z = 17

Divide each side by '1'.
z = 17

Simplifying
z = 17

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