2(9z+2)=z-5

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Solution for 2(9z+2)=z-5 equation:


Simplifying
2(9z + 2) = z + -5

Reorder the terms:
2(2 + 9z) = z + -5
(2 * 2 + 9z * 2) = z + -5
(4 + 18z) = z + -5

Reorder the terms:
4 + 18z = -5 + z

Solving
4 + 18z = -5 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
4 + 18z + -1z = -5 + z + -1z

Combine like terms: 18z + -1z = 17z
4 + 17z = -5 + z + -1z

Combine like terms: z + -1z = 0
4 + 17z = -5 + 0
4 + 17z = -5

Add '-4' to each side of the equation.
4 + -4 + 17z = -5 + -4

Combine like terms: 4 + -4 = 0
0 + 17z = -5 + -4
17z = -5 + -4

Combine like terms: -5 + -4 = -9
17z = -9

Divide each side by '17'.
z = -0.5294117647

Simplifying
z = -0.5294117647

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