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Simplifying -5.5 + 3.5(1 + -9.5z) = 25.5 -5.5 + (1 * 3.5 + -9.5z * 3.5) = 25.5 -5.5 + (3.5 + -33.25z) = 25.5 Combine like terms: -5.5 + 3.5 = -2 -2 + -33.25z = 25.5 Solving -2 + -33.25z = 25.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -33.25z = 25.5 + 2 Combine like terms: -2 + 2 = 0 0 + -33.25z = 25.5 + 2 -33.25z = 25.5 + 2 Combine like terms: 25.5 + 2 = 27.5 -33.25z = 27.5 Divide each side by '-33.25'. z = -0.8270676692 Simplifying z = -0.8270676692
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