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Simplifying 81 = -1 + -2(-1d + 5) Reorder the terms: 81 = -1 + -2(5 + -1d) 81 = -1 + (5 * -2 + -1d * -2) 81 = -1 + (-10 + 2d) Combine like terms: -1 + -10 = -11 81 = -11 + 2d Solving 81 = -11 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 81 + -2d = -11 + 2d + -2d Combine like terms: 2d + -2d = 0 81 + -2d = -11 + 0 81 + -2d = -11 Add '-81' to each side of the equation. 81 + -81 + -2d = -11 + -81 Combine like terms: 81 + -81 = 0 0 + -2d = -11 + -81 -2d = -11 + -81 Combine like terms: -11 + -81 = -92 -2d = -92 Divide each side by '-2'. d = 46 Simplifying d = 46
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