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Simplifying 2d + (8 + -5) = 10(5 + -2) + d(12 * 6) Combine like terms: 8 + -5 = 3 2d + (3) = 10(5 + -2) + d(12 * 6) 2d + 3 = 10(5 + -2) + d(12 * 6) Reorder the terms: 3 + 2d = 10(5 + -2) + d(12 * 6) Combine like terms: 5 + -2 = 3 3 + 2d = 10(3) + d(12 * 6) Multiply 10 * 3 3 + 2d = 30 + d(12 * 6) Multiply 12 * 6 3 + 2d = 30 + d(72) Reorder the terms for easier multiplication: 3 + 2d = 30 + 72d Solving 3 + 2d = 30 + 72d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-72d' to each side of the equation. 3 + 2d + -72d = 30 + 72d + -72d Combine like terms: 2d + -72d = -70d 3 + -70d = 30 + 72d + -72d Combine like terms: 72d + -72d = 0 3 + -70d = 30 + 0 3 + -70d = 30 Add '-3' to each side of the equation. 3 + -3 + -70d = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -70d = 30 + -3 -70d = 30 + -3 Combine like terms: 30 + -3 = 27 -70d = 27 Divide each side by '-70'. d = -0.3857142857 Simplifying d = -0.3857142857
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