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Simplifying 2(1 + -1d) + -1(2d + 1) = -7 (1 * 2 + -1d * 2) + -1(2d + 1) = -7 (2 + -2d) + -1(2d + 1) = -7 Reorder the terms: 2 + -2d + -1(1 + 2d) = -7 2 + -2d + (1 * -1 + 2d * -1) = -7 2 + -2d + (-1 + -2d) = -7 Reorder the terms: 2 + -1 + -2d + -2d = -7 Combine like terms: 2 + -1 = 1 1 + -2d + -2d = -7 Combine like terms: -2d + -2d = -4d 1 + -4d = -7 Solving 1 + -4d = -7 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4d = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4d = -7 + -1 -4d = -7 + -1 Combine like terms: -7 + -1 = -8 -4d = -8 Divide each side by '-4'. d = 2 Simplifying d = 2
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