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Simplifying 0.4z + 0.5 = -2.9 + -1.3z Reorder the terms: 0.5 + 0.4z = -2.9 + -1.3z Solving 0.5 + 0.4z = -2.9 + -1.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.3z' to each side of the equation. 0.5 + 0.4z + 1.3z = -2.9 + -1.3z + 1.3z Combine like terms: 0.4z + 1.3z = 1.7z 0.5 + 1.7z = -2.9 + -1.3z + 1.3z Combine like terms: -1.3z + 1.3z = 0.0 0.5 + 1.7z = -2.9 + 0.0 0.5 + 1.7z = -2.9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.7z = -2.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.7z = -2.9 + -0.5 1.7z = -2.9 + -0.5 Combine like terms: -2.9 + -0.5 = -3.4 1.7z = -3.4 Divide each side by '1.7'. z = -2 Simplifying z = -2
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