9z+1=10z-8

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Solution for 9z+1=10z-8 equation:


Simplifying
9z + 1 = 10z + -8

Reorder the terms:
1 + 9z = 10z + -8

Reorder the terms:
1 + 9z = -8 + 10z

Solving
1 + 9z = -8 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
1 + 9z + -10z = -8 + 10z + -10z

Combine like terms: 9z + -10z = -1z
1 + -1z = -8 + 10z + -10z

Combine like terms: 10z + -10z = 0
1 + -1z = -8 + 0
1 + -1z = -8

Add '-1' to each side of the equation.
1 + -1 + -1z = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = -8 + -1
-1z = -8 + -1

Combine like terms: -8 + -1 = -9
-1z = -9

Divide each side by '-1'.
z = 9

Simplifying
z = 9

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