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Simplifying 5d + -24 + d * 2 + -65 + -3(d + -2) = (d + 3) * 2 Reorder the terms for easier multiplication: 5d + -24 + 2d + -65 + -3(d + -2) = (d + 3) * 2 Reorder the terms: 5d + -24 + 2d + -65 + -3(-2 + d) = (d + 3) * 2 5d + -24 + 2d + -65 + (-2 * -3 + d * -3) = (d + 3) * 2 5d + -24 + 2d + -65 + (6 + -3d) = (d + 3) * 2 Reorder the terms: -24 + -65 + 6 + 5d + 2d + -3d = (d + 3) * 2 Combine like terms: -24 + -65 = -89 -89 + 6 + 5d + 2d + -3d = (d + 3) * 2 Combine like terms: -89 + 6 = -83 -83 + 5d + 2d + -3d = (d + 3) * 2 Combine like terms: 5d + 2d = 7d -83 + 7d + -3d = (d + 3) * 2 Combine like terms: 7d + -3d = 4d -83 + 4d = (d + 3) * 2 Reorder the terms: -83 + 4d = (3 + d) * 2 Reorder the terms for easier multiplication: -83 + 4d = 2(3 + d) -83 + 4d = (3 * 2 + d * 2) -83 + 4d = (6 + 2d) Solving -83 + 4d = 6 + 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. -83 + 4d + -2d = 6 + 2d + -2d Combine like terms: 4d + -2d = 2d -83 + 2d = 6 + 2d + -2d Combine like terms: 2d + -2d = 0 -83 + 2d = 6 + 0 -83 + 2d = 6 Add '83' to each side of the equation. -83 + 83 + 2d = 6 + 83 Combine like terms: -83 + 83 = 0 0 + 2d = 6 + 83 2d = 6 + 83 Combine like terms: 6 + 83 = 89 2d = 89 Divide each side by '2'. d = 44.5 Simplifying d = 44.5
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