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Simplifying -1(-1d + 9) = 7 + 2d Reorder the terms: -1(9 + -1d) = 7 + 2d (9 * -1 + -1d * -1) = 7 + 2d (-9 + 1d) = 7 + 2d Solving -9 + 1d = 7 + 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. -9 + 1d + -2d = 7 + 2d + -2d Combine like terms: 1d + -2d = -1d -9 + -1d = 7 + 2d + -2d Combine like terms: 2d + -2d = 0 -9 + -1d = 7 + 0 -9 + -1d = 7 Add '9' to each side of the equation. -9 + 9 + -1d = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -1d = 7 + 9 -1d = 7 + 9 Combine like terms: 7 + 9 = 16 -1d = 16 Divide each side by '-1'. d = -16 Simplifying d = -16
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