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Simplifying 0.9z + -17 = 1.5z + -20 Reorder the terms: -17 + 0.9z = 1.5z + -20 Reorder the terms: -17 + 0.9z = -20 + 1.5z Solving -17 + 0.9z = -20 + 1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5z' to each side of the equation. -17 + 0.9z + -1.5z = -20 + 1.5z + -1.5z Combine like terms: 0.9z + -1.5z = -0.6z -17 + -0.6z = -20 + 1.5z + -1.5z Combine like terms: 1.5z + -1.5z = 0.0 -17 + -0.6z = -20 + 0.0 -17 + -0.6z = -20 Add '17' to each side of the equation. -17 + 17 + -0.6z = -20 + 17 Combine like terms: -17 + 17 = 0 0 + -0.6z = -20 + 17 -0.6z = -20 + 17 Combine like terms: -20 + 17 = -3 -0.6z = -3 Divide each side by '-0.6'. z = 5 Simplifying z = 5
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