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Simplifying 5(3d + 4) = 2(2d + -1) Reorder the terms: 5(4 + 3d) = 2(2d + -1) (4 * 5 + 3d * 5) = 2(2d + -1) (20 + 15d) = 2(2d + -1) Reorder the terms: 20 + 15d = 2(-1 + 2d) 20 + 15d = (-1 * 2 + 2d * 2) 20 + 15d = (-2 + 4d) Solving 20 + 15d = -2 + 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. 20 + 15d + -4d = -2 + 4d + -4d Combine like terms: 15d + -4d = 11d 20 + 11d = -2 + 4d + -4d Combine like terms: 4d + -4d = 0 20 + 11d = -2 + 0 20 + 11d = -2 Add '-20' to each side of the equation. 20 + -20 + 11d = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 11d = -2 + -20 11d = -2 + -20 Combine like terms: -2 + -20 = -22 11d = -22 Divide each side by '11'. d = -2 Simplifying d = -2
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