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Simplifying -15.5 = -2.5 + 8(d + 4.5) Reorder the terms: -15.5 = -2.5 + 8(4.5 + d) -15.5 = -2.5 + (4.5 * 8 + d * 8) -15.5 = -2.5 + (36 + 8d) Combine like terms: -2.5 + 36 = 33.5 -15.5 = 33.5 + 8d Solving -15.5 = 33.5 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -15.5 + -8d = 33.5 + 8d + -8d Combine like terms: 8d + -8d = 0 -15.5 + -8d = 33.5 + 0 -15.5 + -8d = 33.5 Add '15.5' to each side of the equation. -15.5 + 15.5 + -8d = 33.5 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -8d = 33.5 + 15.5 -8d = 33.5 + 15.5 Combine like terms: 33.5 + 15.5 = 49 -8d = 49 Divide each side by '-8'. d = -6.125 Simplifying d = -6.125
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