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Simplifying 19 + -1(9d + -5) + 18d = 3(6d + 5) Reorder the terms: 19 + -1(-5 + 9d) + 18d = 3(6d + 5) 19 + (-5 * -1 + 9d * -1) + 18d = 3(6d + 5) 19 + (5 + -9d) + 18d = 3(6d + 5) Combine like terms: 19 + 5 = 24 24 + -9d + 18d = 3(6d + 5) Combine like terms: -9d + 18d = 9d 24 + 9d = 3(6d + 5) Reorder the terms: 24 + 9d = 3(5 + 6d) 24 + 9d = (5 * 3 + 6d * 3) 24 + 9d = (15 + 18d) Solving 24 + 9d = 15 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 24 + 9d + -18d = 15 + 18d + -18d Combine like terms: 9d + -18d = -9d 24 + -9d = 15 + 18d + -18d Combine like terms: 18d + -18d = 0 24 + -9d = 15 + 0 24 + -9d = 15 Add '-24' to each side of the equation. 24 + -24 + -9d = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -9d = 15 + -24 -9d = 15 + -24 Combine like terms: 15 + -24 = -9 -9d = -9 Divide each side by '-9'. d = 1 Simplifying d = 1
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