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Simplifying -3d + 3(2d + -5) = d + 31 Reorder the terms: -3d + 3(-5 + 2d) = d + 31 -3d + (-5 * 3 + 2d * 3) = d + 31 -3d + (-15 + 6d) = d + 31 Reorder the terms: -15 + -3d + 6d = d + 31 Combine like terms: -3d + 6d = 3d -15 + 3d = d + 31 Reorder the terms: -15 + 3d = 31 + d Solving -15 + 3d = 31 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -15 + 3d + -1d = 31 + d + -1d Combine like terms: 3d + -1d = 2d -15 + 2d = 31 + d + -1d Combine like terms: d + -1d = 0 -15 + 2d = 31 + 0 -15 + 2d = 31 Add '15' to each side of the equation. -15 + 15 + 2d = 31 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = 31 + 15 2d = 31 + 15 Combine like terms: 31 + 15 = 46 2d = 46 Divide each side by '2'. d = 23 Simplifying d = 23
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