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Simplifying 2(d + 9) = -1(d + -6) Reorder the terms: 2(9 + d) = -1(d + -6) (9 * 2 + d * 2) = -1(d + -6) (18 + 2d) = -1(d + -6) Reorder the terms: 18 + 2d = -1(-6 + d) 18 + 2d = (-6 * -1 + d * -1) 18 + 2d = (6 + -1d) Solving 18 + 2d = 6 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 18 + 2d + d = 6 + -1d + d Combine like terms: 2d + d = 3d 18 + 3d = 6 + -1d + d Combine like terms: -1d + d = 0 18 + 3d = 6 + 0 18 + 3d = 6 Add '-18' to each side of the equation. 18 + -18 + 3d = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 3d = 6 + -18 3d = 6 + -18 Combine like terms: 6 + -18 = -12 3d = -12 Divide each side by '3'. d = -4 Simplifying d = -4
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