9(z+3)=10z-1

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Solution for 9(z+3)=10z-1 equation:


Simplifying
9(z + 3) = 10z + -1

Reorder the terms:
9(3 + z) = 10z + -1
(3 * 9 + z * 9) = 10z + -1
(27 + 9z) = 10z + -1

Reorder the terms:
27 + 9z = -1 + 10z

Solving
27 + 9z = -1 + 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.
27 + 9z + -10z = -1 + 10z + -10z

Combine like terms: 9z + -10z = -1z
27 + -1z = -1 + 10z + -10z

Combine like terms: 10z + -10z = 0
27 + -1z = -1 + 0
27 + -1z = -1

Add '-27' to each side of the equation.
27 + -27 + -1z = -1 + -27

Combine like terms: 27 + -27 = 0
0 + -1z = -1 + -27
-1z = -1 + -27

Combine like terms: -1 + -27 = -28
-1z = -28

Divide each side by '-1'.
z = 28

Simplifying
z = 28

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