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Simplifying 24.5 = -5.5(7.5z + 7) Reorder the terms: 24.5 = -5.5(7 + 7.5z) 24.5 = (7 * -5.5 + 7.5z * -5.5) 24.5 = (-38.5 + -41.25z) Solving 24.5 = -38.5 + -41.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '41.25z' to each side of the equation. 24.5 + 41.25z = -38.5 + -41.25z + 41.25z Combine like terms: -41.25z + 41.25z = 0.00 24.5 + 41.25z = -38.5 + 0.00 24.5 + 41.25z = -38.5 Add '-24.5' to each side of the equation. 24.5 + -24.5 + 41.25z = -38.5 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + 41.25z = -38.5 + -24.5 41.25z = -38.5 + -24.5 Combine like terms: -38.5 + -24.5 = -63 41.25z = -63 Divide each side by '41.25'. z = -1.527272727 Simplifying z = -1.527272727
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