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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) Combine like terms: 12 + -6 = 6 3 + 2d = 30 + d(6) Reorder the terms for easier multiplication: 3 + 2d = 30 + 6d Solving 3 + 2d = 30 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 3 + 2d + -6d = 30 + 6d + -6d Combine like terms: 2d + -6d = -4d 3 + -4d = 30 + 6d + -6d Combine like terms: 6d + -6d = 0 3 + -4d = 30 + 0 3 + -4d = 30 Add '-3' to each side of the equation. 3 + -3 + -4d = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -4d = 30 + -3 -4d = 30 + -3 Combine like terms: 30 + -3 = 27 -4d = 27 Divide each side by '-4'. d = -6.75 Simplifying d = -6.75
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