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Simplifying -5.5(7.5d + -8) = 19.5 + 7d Reorder the terms: -5.5(-8 + 7.5d) = 19.5 + 7d (-8 * -5.5 + 7.5d * -5.5) = 19.5 + 7d (44 + -41.25d) = 19.5 + 7d Solving 44 + -41.25d = 19.5 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 44 + -41.25d + -7d = 19.5 + 7d + -7d Combine like terms: -41.25d + -7d = -48.25d 44 + -48.25d = 19.5 + 7d + -7d Combine like terms: 7d + -7d = 0 44 + -48.25d = 19.5 + 0 44 + -48.25d = 19.5 Add '-44' to each side of the equation. 44 + -44 + -48.25d = 19.5 + -44 Combine like terms: 44 + -44 = 0 0 + -48.25d = 19.5 + -44 -48.25d = 19.5 + -44 Combine like terms: 19.5 + -44 = -24.5 -48.25d = -24.5 Divide each side by '-48.25'. d = 0.5077720207 Simplifying d = 0.5077720207
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