-17.5-2.5(-8.818181818+0.8181818182z)+0.5z-3(-8.818181818+0.8181818182z)+4z=31

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Solution for -17.5-2.5(-8.818181818+0.8181818182z)+0.5z-3(-8.818181818+0.8181818182z)+4z=31 equation:


Simplifying
-17.5 + -2.5(-8.818181818 + 0.8181818182z) + 0.5z + -3(-8.818181818 + 0.8181818182z) + 4z = 31
-17.5 + (-8.818181818 * -2.5 + 0.8181818182z * -2.5) + 0.5z + -3(-8.818181818 + 0.8181818182z) + 4z = 31
-17.5 + (22.04545455 + -2.045454546z) + 0.5z + -3(-8.818181818 + 0.8181818182z) + 4z = 31
-17.5 + 22.04545455 + -2.045454546z + 0.5z + (-8.818181818 * -3 + 0.8181818182z * -3) + 4z = 31
-17.5 + 22.04545455 + -2.045454546z + 0.5z + (26.45454545 + -2.454545455z) + 4z = 31

Reorder the terms:
-17.5 + 22.04545455 + 26.45454545 + -2.045454546z + 0.5z + -2.454545455z + 4z = 31

Combine like terms: -17.5 + 22.04545455 = 4.54545455
4.54545455 + 26.45454545 + -2.045454546z + 0.5z + -2.454545455z + 4z = 31

Combine like terms: 4.54545455 + 26.45454545 = 31
31 + -2.045454546z + 0.5z + -2.454545455z + 4z = 31

Combine like terms: -2.045454546z + 0.5z = -1.545454546z
31 + -1.545454546z + -2.454545455z + 4z = 31

Combine like terms: -1.545454546z + -2.454545455z = -4.000000001z
31 + -4.000000001z + 4z = 31

Combine like terms: -4.000000001z + 4z = -0.000000001z
31 + -0.000000001z = 31

Add '-31' to each side of the equation.
31 + -31 + -0.000000001z = 31 + -31

Combine like terms: 31 + -31 = 0
0 + -0.000000001z = 31 + -31
-0.000000001z = 31 + -31

Combine like terms: 31 + -31 = 0
-0.000000001z = 0

Solving
-0.000000001z = 0

Solving for variable 'z'.

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

Divide each side by '-0.000000001'.
z = 0

Simplifying
z = 0

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