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Simplifying -1.3(-4z + 7) + -1.5z = 0 Reorder the terms: -1.3(7 + -4z) + -1.5z = 0 (7 * -1.3 + -4z * -1.3) + -1.5z = 0 (-9.1 + 5.2z) + -1.5z = 0 Combine like terms: 5.2z + -1.5z = 3.7z -9.1 + 3.7z = 0 Solving -9.1 + 3.7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9.1' to each side of the equation. -9.1 + 9.1 + 3.7z = 0 + 9.1 Combine like terms: -9.1 + 9.1 = 0.0 0.0 + 3.7z = 0 + 9.1 3.7z = 0 + 9.1 Combine like terms: 0 + 9.1 = 9.1 3.7z = 9.1 Divide each side by '3.7'. z = 2.459459459 Simplifying z = 2.459459459
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