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Simplifying 8(3d + -2) = 4(d + 5) Reorder the terms: 8(-2 + 3d) = 4(d + 5) (-2 * 8 + 3d * 8) = 4(d + 5) (-16 + 24d) = 4(d + 5) Reorder the terms: -16 + 24d = 4(5 + d) -16 + 24d = (5 * 4 + d * 4) -16 + 24d = (20 + 4d) Solving -16 + 24d = 20 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -16 + 24d + -4d = 20 + 4d + -4d Combine like terms: 24d + -4d = 20d -16 + 20d = 20 + 4d + -4d Combine like terms: 4d + -4d = 0 -16 + 20d = 20 + 0 -16 + 20d = 20 Add '16' to each side of the equation. -16 + 16 + 20d = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 20d = 20 + 16 20d = 20 + 16 Combine like terms: 20 + 16 = 36 20d = 36 Divide each side by '20'. d = 1.8 Simplifying d = 1.8
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