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Simplifying -4.5(8 + 7.5z) = 27.5 (8 * -4.5 + 7.5z * -4.5) = 27.5 (-36 + -33.75z) = 27.5 Solving -36 + -33.75z = 27.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -33.75z = 27.5 + 36 Combine like terms: -36 + 36 = 0 0 + -33.75z = 27.5 + 36 -33.75z = 27.5 + 36 Combine like terms: 27.5 + 36 = 63.5 -33.75z = 63.5 Divide each side by '-33.75'. z = -1.881481481 Simplifying z = -1.881481481
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