2z+20=3z-9

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Solution for 2z+20=3z-9 equation:


Simplifying
2z + 20 = 3z + -9

Reorder the terms:
20 + 2z = 3z + -9

Reorder the terms:
20 + 2z = -9 + 3z

Solving
20 + 2z = -9 + 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.
20 + 2z + -3z = -9 + 3z + -3z

Combine like terms: 2z + -3z = -1z
20 + -1z = -9 + 3z + -3z

Combine like terms: 3z + -3z = 0
20 + -1z = -9 + 0
20 + -1z = -9

Add '-20' to each side of the equation.
20 + -20 + -1z = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -1z = -9 + -20
-1z = -9 + -20

Combine like terms: -9 + -20 = -29
-1z = -29

Divide each side by '-1'.
z = 29

Simplifying
z = 29

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