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Simplifying 0.5(7d + 4) = 7 + -1.4d Reorder the terms: 0.5(4 + 7d) = 7 + -1.4d (4 * 0.5 + 7d * 0.5) = 7 + -1.4d (2 + 3.5d) = 7 + -1.4d Solving 2 + 3.5d = 7 + -1.4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.4d' to each side of the equation. 2 + 3.5d + 1.4d = 7 + -1.4d + 1.4d Combine like terms: 3.5d + 1.4d = 4.9d 2 + 4.9d = 7 + -1.4d + 1.4d Combine like terms: -1.4d + 1.4d = 0.0 2 + 4.9d = 7 + 0.0 2 + 4.9d = 7 Add '-2' to each side of the equation. 2 + -2 + 4.9d = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 4.9d = 7 + -2 4.9d = 7 + -2 Combine like terms: 7 + -2 = 5 4.9d = 5 Divide each side by '4.9'. d = 1.020408163 Simplifying d = 1.020408163
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