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Simplifying 3 + -1(4d + -8) = 2(5 + -1d) Reorder the terms: 3 + -1(-8 + 4d) = 2(5 + -1d) 3 + (-8 * -1 + 4d * -1) = 2(5 + -1d) 3 + (8 + -4d) = 2(5 + -1d) Combine like terms: 3 + 8 = 11 11 + -4d = 2(5 + -1d) 11 + -4d = (5 * 2 + -1d * 2) 11 + -4d = (10 + -2d) Solving 11 + -4d = 10 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 11 + -4d + 2d = 10 + -2d + 2d Combine like terms: -4d + 2d = -2d 11 + -2d = 10 + -2d + 2d Combine like terms: -2d + 2d = 0 11 + -2d = 10 + 0 11 + -2d = 10 Add '-11' to each side of the equation. 11 + -11 + -2d = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -2d = 10 + -11 -2d = 10 + -11 Combine like terms: 10 + -11 = -1 -2d = -1 Divide each side by '-2'. d = 0.5 Simplifying d = 0.5
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