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Simplifying 23.5 + 6d = -4.5(9d + 9.5) Reorder the terms: 23.5 + 6d = -4.5(9.5 + 9d) 23.5 + 6d = (9.5 * -4.5 + 9d * -4.5) 23.5 + 6d = (-42.75 + -40.5d) Solving 23.5 + 6d = -42.75 + -40.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '40.5d' to each side of the equation. 23.5 + 6d + 40.5d = -42.75 + -40.5d + 40.5d Combine like terms: 6d + 40.5d = 46.5d 23.5 + 46.5d = -42.75 + -40.5d + 40.5d Combine like terms: -40.5d + 40.5d = 0.0 23.5 + 46.5d = -42.75 + 0.0 23.5 + 46.5d = -42.75 Add '-23.5' to each side of the equation. 23.5 + -23.5 + 46.5d = -42.75 + -23.5 Combine like terms: 23.5 + -23.5 = 0.0 0.0 + 46.5d = -42.75 + -23.5 46.5d = -42.75 + -23.5 Combine like terms: -42.75 + -23.5 = -66.25 46.5d = -66.25 Divide each side by '46.5'. d = -1.424731183 Simplifying d = -1.424731183
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