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Simplifying 5(3d + 2) + 3(1 + -2d) = 13 Reorder the terms: 5(2 + 3d) + 3(1 + -2d) = 13 (2 * 5 + 3d * 5) + 3(1 + -2d) = 13 (10 + 15d) + 3(1 + -2d) = 13 10 + 15d + (1 * 3 + -2d * 3) = 13 10 + 15d + (3 + -6d) = 13 Reorder the terms: 10 + 3 + 15d + -6d = 13 Combine like terms: 10 + 3 = 13 13 + 15d + -6d = 13 Combine like terms: 15d + -6d = 9d 13 + 9d = 13 Add '-13' to each side of the equation. 13 + -13 + 9d = 13 + -13 Combine like terms: 13 + -13 = 0 0 + 9d = 13 + -13 9d = 13 + -13 Combine like terms: 13 + -13 = 0 9d = 0 Solving 9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '9'. d = 0 Simplifying d = 0
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