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Simplifying 1.3z + -5 = 3z + 3.5 Reorder the terms: -5 + 1.3z = 3z + 3.5 Reorder the terms: -5 + 1.3z = 3.5 + 3z Solving -5 + 1.3z = 3.5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -5 + 1.3z + -3z = 3.5 + 3z + -3z Combine like terms: 1.3z + -3z = -1.7z -5 + -1.7z = 3.5 + 3z + -3z Combine like terms: 3z + -3z = 0 -5 + -1.7z = 3.5 + 0 -5 + -1.7z = 3.5 Add '5' to each side of the equation. -5 + 5 + -1.7z = 3.5 + 5 Combine like terms: -5 + 5 = 0 0 + -1.7z = 3.5 + 5 -1.7z = 3.5 + 5 Combine like terms: 3.5 + 5 = 8.5 -1.7z = 8.5 Divide each side by '-1.7'. z = -5 Simplifying z = -5
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