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Simplifying -5(3.5 + -6z) = 29.5 (3.5 * -5 + -6z * -5) = 29.5 (-17.5 + 30z) = 29.5 Solving -17.5 + 30z = 29.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17.5' to each side of the equation. -17.5 + 17.5 + 30z = 29.5 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + 30z = 29.5 + 17.5 30z = 29.5 + 17.5 Combine like terms: 29.5 + 17.5 = 47 30z = 47 Divide each side by '30'. z = 1.566666667 Simplifying z = 1.566666667
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