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Simplifying -18.5 = -5.5(5z + -9) Reorder the terms: -18.5 = -5.5(-9 + 5z) -18.5 = (-9 * -5.5 + 5z * -5.5) -18.5 = (49.5 + -27.5z) Solving -18.5 = 49.5 + -27.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27.5z' to each side of the equation. -18.5 + 27.5z = 49.5 + -27.5z + 27.5z Combine like terms: -27.5z + 27.5z = 0.0 -18.5 + 27.5z = 49.5 + 0.0 -18.5 + 27.5z = 49.5 Add '18.5' to each side of the equation. -18.5 + 18.5 + 27.5z = 49.5 + 18.5 Combine like terms: -18.5 + 18.5 = 0.0 0.0 + 27.5z = 49.5 + 18.5 27.5z = 49.5 + 18.5 Combine like terms: 49.5 + 18.5 = 68 27.5z = 68 Divide each side by '27.5'. z = 2.472727273 Simplifying z = 2.472727273
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