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Simplifying -6(7d + 5) = 31 + -4d Reorder the terms: -6(5 + 7d) = 31 + -4d (5 * -6 + 7d * -6) = 31 + -4d (-30 + -42d) = 31 + -4d Solving -30 + -42d = 31 + -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. -30 + -42d + 4d = 31 + -4d + 4d Combine like terms: -42d + 4d = -38d -30 + -38d = 31 + -4d + 4d Combine like terms: -4d + 4d = 0 -30 + -38d = 31 + 0 -30 + -38d = 31 Add '30' to each side of the equation. -30 + 30 + -38d = 31 + 30 Combine like terms: -30 + 30 = 0 0 + -38d = 31 + 30 -38d = 31 + 30 Combine like terms: 31 + 30 = 61 -38d = 61 Divide each side by '-38'. d = -1.605263158 Simplifying d = -1.605263158
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