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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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