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Simplifying 3(5d + 3) = 4(4d + 3) Reorder the terms: 3(3 + 5d) = 4(4d + 3) (3 * 3 + 5d * 3) = 4(4d + 3) (9 + 15d) = 4(4d + 3) Reorder the terms: 9 + 15d = 4(3 + 4d) 9 + 15d = (3 * 4 + 4d * 4) 9 + 15d = (12 + 16d) Solving 9 + 15d = 12 + 16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16d' to each side of the equation. 9 + 15d + -16d = 12 + 16d + -16d Combine like terms: 15d + -16d = -1d 9 + -1d = 12 + 16d + -16d Combine like terms: 16d + -16d = 0 9 + -1d = 12 + 0 9 + -1d = 12 Add '-9' to each side of the equation. 9 + -9 + -1d = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 12 + -9 -1d = 12 + -9 Combine like terms: 12 + -9 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3
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