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Simplifying 5[2 + -1(2d + -4)] = 2(5 + -3d) Reorder the terms: 5[2 + -1(-4 + 2d)] = 2(5 + -3d) 5[2 + (-4 * -1 + 2d * -1)] = 2(5 + -3d) 5[2 + (4 + -2d)] = 2(5 + -3d) Combine like terms: 2 + 4 = 6 5[6 + -2d] = 2(5 + -3d) [6 * 5 + -2d * 5] = 2(5 + -3d) [30 + -10d] = 2(5 + -3d) 30 + -10d = (5 * 2 + -3d * 2) 30 + -10d = (10 + -6d) Solving 30 + -10d = 10 + -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. 30 + -10d + 6d = 10 + -6d + 6d Combine like terms: -10d + 6d = -4d 30 + -4d = 10 + -6d + 6d Combine like terms: -6d + 6d = 0 30 + -4d = 10 + 0 30 + -4d = 10 Add '-30' to each side of the equation. 30 + -30 + -4d = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4d = 10 + -30 -4d = 10 + -30 Combine like terms: 10 + -30 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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