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Simplifying 0.17z + 0.5 = -0.5z + -1 Reorder the terms: 0.5 + 0.17z = -0.5z + -1 Reorder the terms: 0.5 + 0.17z = -1 + -0.5z Solving 0.5 + 0.17z = -1 + -0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5z' to each side of the equation. 0.5 + 0.17z + 0.5z = -1 + -0.5z + 0.5z Combine like terms: 0.17z + 0.5z = 0.67z 0.5 + 0.67z = -1 + -0.5z + 0.5z Combine like terms: -0.5z + 0.5z = 0.0 0.5 + 0.67z = -1 + 0.0 0.5 + 0.67z = -1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.67z = -1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.67z = -1 + -0.5 0.67z = -1 + -0.5 Combine like terms: -1 + -0.5 = -1.5 0.67z = -1.5 Divide each side by '0.67'. z = -2.23880597 Simplifying z = -2.23880597
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