10z+9=11z-2

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Solution for 10z+9=11z-2 equation:


Simplifying
10z + 9 = 11z + -2

Reorder the terms:
9 + 10z = 11z + -2

Reorder the terms:
9 + 10z = -2 + 11z

Solving
9 + 10z = -2 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
9 + 10z + -11z = -2 + 11z + -11z

Combine like terms: 10z + -11z = -1z
9 + -1z = -2 + 11z + -11z

Combine like terms: 11z + -11z = 0
9 + -1z = -2 + 0
9 + -1z = -2

Add '-9' to each side of the equation.
9 + -9 + -1z = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -1z = -2 + -9
-1z = -2 + -9

Combine like terms: -2 + -9 = -11
-1z = -11

Divide each side by '-1'.
z = 11

Simplifying
z = 11

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