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Simplifying -15.5 = 2.5 + 3.5(d + -7) Reorder the terms: -15.5 = 2.5 + 3.5(-7 + d) -15.5 = 2.5 + (-7 * 3.5 + d * 3.5) -15.5 = 2.5 + (-24.5 + 3.5d) Combine like terms: 2.5 + -24.5 = -22 -15.5 = -22 + 3.5d Solving -15.5 = -22 + 3.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3.5d' to each side of the equation. -15.5 + -3.5d = -22 + 3.5d + -3.5d Combine like terms: 3.5d + -3.5d = 0.0 -15.5 + -3.5d = -22 + 0.0 -15.5 + -3.5d = -22 Add '15.5' to each side of the equation. -15.5 + 15.5 + -3.5d = -22 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -3.5d = -22 + 15.5 -3.5d = -22 + 15.5 Combine like terms: -22 + 15.5 = -6.5 -3.5d = -6.5 Divide each side by '-3.5'. d = 1.857142857 Simplifying d = 1.857142857
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