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Simplifying -1.5(-5z + 1) + -3.6z = 0 Reorder the terms: -1.5(1 + -5z) + -3.6z = 0 (1 * -1.5 + -5z * -1.5) + -3.6z = 0 (-1.5 + 7.5z) + -3.6z = 0 Combine like terms: 7.5z + -3.6z = 3.9z -1.5 + 3.9z = 0 Solving -1.5 + 3.9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 3.9z = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3.9z = 0 + 1.5 3.9z = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 3.9z = 1.5 Divide each side by '3.9'. z = 0.3846153846 Simplifying z = 0.3846153846
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