4z-10=5z+9

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Solution for 4z-10=5z+9 equation:


Simplifying
4z + -10 = 5z + 9

Reorder the terms:
-10 + 4z = 5z + 9

Reorder the terms:
-10 + 4z = 9 + 5z

Solving
-10 + 4z = 9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-10 + 4z + -5z = 9 + 5z + -5z

Combine like terms: 4z + -5z = -1z
-10 + -1z = 9 + 5z + -5z

Combine like terms: 5z + -5z = 0
-10 + -1z = 9 + 0
-10 + -1z = 9

Add '10' to each side of the equation.
-10 + 10 + -1z = 9 + 10

Combine like terms: -10 + 10 = 0
0 + -1z = 9 + 10
-1z = 9 + 10

Combine like terms: 9 + 10 = 19
-1z = 19

Divide each side by '-1'.
z = -19

Simplifying
z = -19

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