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Simplifying 0.5(7d + 4) = 7 + -1.5d Reorder the terms: 0.5(4 + 7d) = 7 + -1.5d (4 * 0.5 + 7d * 0.5) = 7 + -1.5d (2 + 3.5d) = 7 + -1.5d Solving 2 + 3.5d = 7 + -1.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.5d' to each side of the equation. 2 + 3.5d + 1.5d = 7 + -1.5d + 1.5d Combine like terms: 3.5d + 1.5d = 5d 2 + 5d = 7 + -1.5d + 1.5d Combine like terms: -1.5d + 1.5d = 0.0 2 + 5d = 7 + 0.0 2 + 5d = 7 Add '-2' to each side of the equation. 2 + -2 + 5d = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 7 + -2 5d = 7 + -2 Combine like terms: 7 + -2 = 5 5d = 5 Divide each side by '5'. d = 1 Simplifying d = 1
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