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Simplifying 5(3d + 8) + 5d = 5(2d + 10) + -36 Reorder the terms: 5(8 + 3d) + 5d = 5(2d + 10) + -36 (8 * 5 + 3d * 5) + 5d = 5(2d + 10) + -36 (40 + 15d) + 5d = 5(2d + 10) + -36 Combine like terms: 15d + 5d = 20d 40 + 20d = 5(2d + 10) + -36 Reorder the terms: 40 + 20d = 5(10 + 2d) + -36 40 + 20d = (10 * 5 + 2d * 5) + -36 40 + 20d = (50 + 10d) + -36 Reorder the terms: 40 + 20d = 50 + -36 + 10d Combine like terms: 50 + -36 = 14 40 + 20d = 14 + 10d Solving 40 + 20d = 14 + 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. 40 + 20d + -10d = 14 + 10d + -10d Combine like terms: 20d + -10d = 10d 40 + 10d = 14 + 10d + -10d Combine like terms: 10d + -10d = 0 40 + 10d = 14 + 0 40 + 10d = 14 Add '-40' to each side of the equation. 40 + -40 + 10d = 14 + -40 Combine like terms: 40 + -40 = 0 0 + 10d = 14 + -40 10d = 14 + -40 Combine like terms: 14 + -40 = -26 10d = -26 Divide each side by '10'. d = -2.6 Simplifying d = -2.6
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