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Simplifying -7(4d + 5) = -17 + -3d Reorder the terms: -7(5 + 4d) = -17 + -3d (5 * -7 + 4d * -7) = -17 + -3d (-35 + -28d) = -17 + -3d Solving -35 + -28d = -17 + -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 + -28d + 3d = -17 + -3d + 3d Combine like terms: -28d + 3d = -25d -35 + -25d = -17 + -3d + 3d Combine like terms: -3d + 3d = 0 -35 + -25d = -17 + 0 -35 + -25d = -17 Add '35' to each side of the equation. -35 + 35 + -25d = -17 + 35 Combine like terms: -35 + 35 = 0 0 + -25d = -17 + 35 -25d = -17 + 35 Combine like terms: -17 + 35 = 18 -25d = 18 Divide each side by '-25'. d = -0.72 Simplifying d = -0.72
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