6+2(9z-2)=-5(-z-2)-1

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Solution for 6+2(9z-2)=-5(-z-2)-1 equation: 


Simplifying
6 + 2(9z + -2) = -5(-1z + -2) + -1

Reorder the terms:
6 + 2(-2 + 9z) = -5(-1z + -2) + -1
6 + (-2 * 2 + 9z * 2) = -5(-1z + -2) + -1
6 + (-4 + 18z) = -5(-1z + -2) + -1

Combine like terms: 6 + -4 = 2
2 + 18z = -5(-1z + -2) + -1

Reorder the terms:
2 + 18z = -5(-2 + -1z) + -1
2 + 18z = (-2 * -5 + -1z * -5) + -1
2 + 18z = (10 + 5z) + -1

Reorder the terms:
2 + 18z = 10 + -1 + 5z

Combine like terms: 10 + -1 = 9
2 + 18z = 9 + 5z

Solving
2 + 18z = 9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
2 + 18z + -5z = 9 + 5z + -5z

Combine like terms: 18z + -5z = 13z
2 + 13z = 9 + 5z + -5z

Combine like terms: 5z + -5z = 0
2 + 13z = 9 + 0
2 + 13z = 9

Add '-2' to each side of the equation.
2 + -2 + 13z = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 13z = 9 + -2
13z = 9 + -2

Combine like terms: 9 + -2 = 7
13z = 7

Divide each side by '13'.
z = 0.5384615385

Simplifying
z = 0.5384615385

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