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Simplifying 4(7 + -1d) = 5d (7 * 4 + -1d * 4) = 5d (28 + -4d) = 5d Solving 28 + -4d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 28 + -4d + -5d = 5d + -5d Combine like terms: -4d + -5d = -9d 28 + -9d = 5d + -5d Combine like terms: 5d + -5d = 0 28 + -9d = 0 Add '-28' to each side of the equation. 28 + -28 + -9d = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9d = 0 + -28 -9d = 0 + -28 Combine like terms: 0 + -28 = -28 -9d = -28 Divide each side by '-9'. d = 3.111111111 Simplifying d = 3.111111111
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