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Simplifying 2(d + 2) + 11 = -1(-5d + -9) Reorder the terms: 2(2 + d) + 11 = -1(-5d + -9) (2 * 2 + d * 2) + 11 = -1(-5d + -9) (4 + 2d) + 11 = -1(-5d + -9) Reorder the terms: 4 + 11 + 2d = -1(-5d + -9) Combine like terms: 4 + 11 = 15 15 + 2d = -1(-5d + -9) Reorder the terms: 15 + 2d = -1(-9 + -5d) 15 + 2d = (-9 * -1 + -5d * -1) 15 + 2d = (9 + 5d) Solving 15 + 2d = 9 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 15 + 2d + -5d = 9 + 5d + -5d Combine like terms: 2d + -5d = -3d 15 + -3d = 9 + 5d + -5d Combine like terms: 5d + -5d = 0 15 + -3d = 9 + 0 15 + -3d = 9 Add '-15' to each side of the equation. 15 + -15 + -3d = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3d = 9 + -15 -3d = 9 + -15 Combine like terms: 9 + -15 = -6 -3d = -6 Divide each side by '-3'. d = 2 Simplifying d = 2
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