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Simplifying 5(6 + -63d) = 3(8 + 7d) (6 * 5 + -63d * 5) = 3(8 + 7d) (30 + -315d) = 3(8 + 7d) 30 + -315d = (8 * 3 + 7d * 3) 30 + -315d = (24 + 21d) Solving 30 + -315d = 24 + 21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21d' to each side of the equation. 30 + -315d + -21d = 24 + 21d + -21d Combine like terms: -315d + -21d = -336d 30 + -336d = 24 + 21d + -21d Combine like terms: 21d + -21d = 0 30 + -336d = 24 + 0 30 + -336d = 24 Add '-30' to each side of the equation. 30 + -30 + -336d = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -336d = 24 + -30 -336d = 24 + -30 Combine like terms: 24 + -30 = -6 -336d = -6 Divide each side by '-336'. d = 0.01785714286 Simplifying d = 0.01785714286
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