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Simplifying -1(5d + 3) = 7d + 5 Reorder the terms: -1(3 + 5d) = 7d + 5 (3 * -1 + 5d * -1) = 7d + 5 (-3 + -5d) = 7d + 5 Reorder the terms: -3 + -5d = 5 + 7d Solving -3 + -5d = 5 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -3 + -5d + -7d = 5 + 7d + -7d Combine like terms: -5d + -7d = -12d -3 + -12d = 5 + 7d + -7d Combine like terms: 7d + -7d = 0 -3 + -12d = 5 + 0 -3 + -12d = 5 Add '3' to each side of the equation. -3 + 3 + -12d = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -12d = 5 + 3 -12d = 5 + 3 Combine like terms: 5 + 3 = 8 -12d = 8 Divide each side by '-12'. d = -0.6666666667 Simplifying d = -0.6666666667
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