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Simplifying 3(9 + -2d) = 5(3 + -2d) (9 * 3 + -2d * 3) = 5(3 + -2d) (27 + -6d) = 5(3 + -2d) 27 + -6d = (3 * 5 + -2d * 5) 27 + -6d = (15 + -10d) Solving 27 + -6d = 15 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 27 + -6d + 10d = 15 + -10d + 10d Combine like terms: -6d + 10d = 4d 27 + 4d = 15 + -10d + 10d Combine like terms: -10d + 10d = 0 27 + 4d = 15 + 0 27 + 4d = 15 Add '-27' to each side of the equation. 27 + -27 + 4d = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 4d = 15 + -27 4d = 15 + -27 Combine like terms: 15 + -27 = -12 4d = -12 Divide each side by '4'. d = -3 Simplifying d = -3
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