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Simplifying 5(3d + 6) + -5 = 3(d + 1) + -2 Reorder the terms: 5(6 + 3d) + -5 = 3(d + 1) + -2 (6 * 5 + 3d * 5) + -5 = 3(d + 1) + -2 (30 + 15d) + -5 = 3(d + 1) + -2 Reorder the terms: 30 + -5 + 15d = 3(d + 1) + -2 Combine like terms: 30 + -5 = 25 25 + 15d = 3(d + 1) + -2 Reorder the terms: 25 + 15d = 3(1 + d) + -2 25 + 15d = (1 * 3 + d * 3) + -2 25 + 15d = (3 + 3d) + -2 Reorder the terms: 25 + 15d = 3 + -2 + 3d Combine like terms: 3 + -2 = 1 25 + 15d = 1 + 3d Solving 25 + 15d = 1 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 25 + 15d + -3d = 1 + 3d + -3d Combine like terms: 15d + -3d = 12d 25 + 12d = 1 + 3d + -3d Combine like terms: 3d + -3d = 0 25 + 12d = 1 + 0 25 + 12d = 1 Add '-25' to each side of the equation. 25 + -25 + 12d = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 12d = 1 + -25 12d = 1 + -25 Combine like terms: 1 + -25 = -24 12d = -24 Divide each side by '12'. d = -2 Simplifying d = -2
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