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Simplifying 5(d + 3) = 15 + 2(2d + -1) Reorder the terms: 5(3 + d) = 15 + 2(2d + -1) (3 * 5 + d * 5) = 15 + 2(2d + -1) (15 + 5d) = 15 + 2(2d + -1) Reorder the terms: 15 + 5d = 15 + 2(-1 + 2d) 15 + 5d = 15 + (-1 * 2 + 2d * 2) 15 + 5d = 15 + (-2 + 4d) Combine like terms: 15 + -2 = 13 15 + 5d = 13 + 4d Solving 15 + 5d = 13 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 15 + 5d + -4d = 13 + 4d + -4d Combine like terms: 5d + -4d = 1d 15 + 1d = 13 + 4d + -4d Combine like terms: 4d + -4d = 0 15 + 1d = 13 + 0 15 + 1d = 13 Add '-15' to each side of the equation. 15 + -15 + 1d = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 1d = 13 + -15 1d = 13 + -15 Combine like terms: 13 + -15 = -2 1d = -2 Divide each side by '1'. d = -2 Simplifying d = -2
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