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Simplifying 0.50d + -3 = 4.50d + 13 Reorder the terms: -3 + 0.50d = 4.50d + 13 Reorder the terms: -3 + 0.50d = 13 + 4.50d Solving -3 + 0.50d = 13 + 4.50d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4.50d' to each side of the equation. -3 + 0.50d + -4.50d = 13 + 4.50d + -4.50d Combine like terms: 0.50d + -4.50d = -4d -3 + -4d = 13 + 4.50d + -4.50d Combine like terms: 4.50d + -4.50d = 0.00 -3 + -4d = 13 + 0.00 -3 + -4d = 13 Add '3' to each side of the equation. -3 + 3 + -4d = 13 + 3 Combine like terms: -3 + 3 = 0 0 + -4d = 13 + 3 -4d = 13 + 3 Combine like terms: 13 + 3 = 16 -4d = 16 Divide each side by '-4'. d = -4 Simplifying d = -4
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