-6z-9(-8z-4)=2-5(-9-z)

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Solution for -6z-9(-8z-4)=2-5(-9-z) equation:


Simplifying
-6z + -9(-8z + -4) = 2 + -5(-9 + -1z)

Reorder the terms:
-6z + -9(-4 + -8z) = 2 + -5(-9 + -1z)
-6z + (-4 * -9 + -8z * -9) = 2 + -5(-9 + -1z)
-6z + (36 + 72z) = 2 + -5(-9 + -1z)

Reorder the terms:
36 + -6z + 72z = 2 + -5(-9 + -1z)

Combine like terms: -6z + 72z = 66z
36 + 66z = 2 + -5(-9 + -1z)
36 + 66z = 2 + (-9 * -5 + -1z * -5)
36 + 66z = 2 + (45 + 5z)

Combine like terms: 2 + 45 = 47
36 + 66z = 47 + 5z

Solving
36 + 66z = 47 + 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.
36 + 66z + -5z = 47 + 5z + -5z

Combine like terms: 66z + -5z = 61z
36 + 61z = 47 + 5z + -5z

Combine like terms: 5z + -5z = 0
36 + 61z = 47 + 0
36 + 61z = 47

Add '-36' to each side of the equation.
36 + -36 + 61z = 47 + -36

Combine like terms: 36 + -36 = 0
0 + 61z = 47 + -36
61z = 47 + -36

Combine like terms: 47 + -36 = 11
61z = 11

Divide each side by '61'.
z = 0.1803278689

Simplifying
z = 0.1803278689

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