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Simplifying -19.5 + -3.5d = -4.5(9.5d + 8) Reorder the terms: -19.5 + -3.5d = -4.5(8 + 9.5d) -19.5 + -3.5d = (8 * -4.5 + 9.5d * -4.5) -19.5 + -3.5d = (-36 + -42.75d) Solving -19.5 + -3.5d = -36 + -42.75d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '42.75d' to each side of the equation. -19.5 + -3.5d + 42.75d = -36 + -42.75d + 42.75d Combine like terms: -3.5d + 42.75d = 39.25d -19.5 + 39.25d = -36 + -42.75d + 42.75d Combine like terms: -42.75d + 42.75d = 0.00 -19.5 + 39.25d = -36 + 0.00 -19.5 + 39.25d = -36 Add '19.5' to each side of the equation. -19.5 + 19.5 + 39.25d = -36 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + 39.25d = -36 + 19.5 39.25d = -36 + 19.5 Combine like terms: -36 + 19.5 = -16.5 39.25d = -16.5 Divide each side by '39.25'. d = -0.4203821656 Simplifying d = -0.4203821656
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