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Simplifying 5(-1d + 5) = -3d + 6 Reorder the terms: 5(5 + -1d) = -3d + 6 (5 * 5 + -1d * 5) = -3d + 6 (25 + -5d) = -3d + 6 Reorder the terms: 25 + -5d = 6 + -3d Solving 25 + -5d = 6 + -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. 25 + -5d + 3d = 6 + -3d + 3d Combine like terms: -5d + 3d = -2d 25 + -2d = 6 + -3d + 3d Combine like terms: -3d + 3d = 0 25 + -2d = 6 + 0 25 + -2d = 6 Add '-25' to each side of the equation. 25 + -25 + -2d = 6 + -25 Combine like terms: 25 + -25 = 0 0 + -2d = 6 + -25 -2d = 6 + -25 Combine like terms: 6 + -25 = -19 -2d = -19 Divide each side by '-2'. d = 9.5 Simplifying d = 9.5
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