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Simplifying -7(6d + -5) = 31 + -3d Reorder the terms: -7(-5 + 6d) = 31 + -3d (-5 * -7 + 6d * -7) = 31 + -3d (35 + -42d) = 31 + -3d Solving 35 + -42d = 31 + -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. 35 + -42d + 3d = 31 + -3d + 3d Combine like terms: -42d + 3d = -39d 35 + -39d = 31 + -3d + 3d Combine like terms: -3d + 3d = 0 35 + -39d = 31 + 0 35 + -39d = 31 Add '-35' to each side of the equation. 35 + -35 + -39d = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -39d = 31 + -35 -39d = 31 + -35 Combine like terms: 31 + -35 = -4 -39d = -4 Divide each side by '-39'. d = 0.1025641026 Simplifying d = 0.1025641026
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