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Simplifying 5d + -8 = 3(d + 2) Reorder the terms: -8 + 5d = 3(d + 2) Reorder the terms: -8 + 5d = 3(2 + d) -8 + 5d = (2 * 3 + d * 3) -8 + 5d = (6 + 3d) Solving -8 + 5d = 6 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -8 + 5d + -3d = 6 + 3d + -3d Combine like terms: 5d + -3d = 2d -8 + 2d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + 2d = 6 + 0 -8 + 2d = 6 Add '8' to each side of the equation. -8 + 8 + 2d = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 6 + 8 2d = 6 + 8 Combine like terms: 6 + 8 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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