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Simplifying 1.5z + 17 = 5.5z + -20 Reorder the terms: 17 + 1.5z = 5.5z + -20 Reorder the terms: 17 + 1.5z = -20 + 5.5z Solving 17 + 1.5z = -20 + 5.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.5z' to each side of the equation. 17 + 1.5z + -5.5z = -20 + 5.5z + -5.5z Combine like terms: 1.5z + -5.5z = -4z 17 + -4z = -20 + 5.5z + -5.5z Combine like terms: 5.5z + -5.5z = 0.0 17 + -4z = -20 + 0.0 17 + -4z = -20 Add '-17' to each side of the equation. 17 + -17 + -4z = -20 + -17 Combine like terms: 17 + -17 = 0 0 + -4z = -20 + -17 -4z = -20 + -17 Combine like terms: -20 + -17 = -37 -4z = -37 Divide each side by '-4'. z = 9.25 Simplifying z = 9.25
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