9(z+4)=10z-1

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Solution for 9(z+4)=10z-1 equation:


Simplifying
9(z + 4) = 10z + -1

Reorder the terms:
9(4 + z) = 10z + -1
(4 * 9 + z * 9) = 10z + -1
(36 + 9z) = 10z + -1

Reorder the terms:
36 + 9z = -1 + 10z

Solving
36 + 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.
36 + 9z + -10z = -1 + 10z + -10z

Combine like terms: 9z + -10z = -1z
36 + -1z = -1 + 10z + -10z

Combine like terms: 10z + -10z = 0
36 + -1z = -1 + 0
36 + -1z = -1

Add '-36' to each side of the equation.
36 + -36 + -1z = -1 + -36

Combine like terms: 36 + -36 = 0
0 + -1z = -1 + -36
-1z = -1 + -36

Combine like terms: -1 + -36 = -37
-1z = -37

Divide each side by '-1'.
z = 37

Simplifying
z = 37

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