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Simplifying 0.5z + -8 = 9z + -42 Reorder the terms: -8 + 0.5z = 9z + -42 Reorder the terms: -8 + 0.5z = -42 + 9z Solving -8 + 0.5z = -42 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -8 + 0.5z + -9z = -42 + 9z + -9z Combine like terms: 0.5z + -9z = -8.5z -8 + -8.5z = -42 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + -8.5z = -42 + 0 -8 + -8.5z = -42 Add '8' to each side of the equation. -8 + 8 + -8.5z = -42 + 8 Combine like terms: -8 + 8 = 0 0 + -8.5z = -42 + 8 -8.5z = -42 + 8 Combine like terms: -42 + 8 = -34 -8.5z = -34 Divide each side by '-8.5'. z = 4 Simplifying z = 4
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