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Simplifying -2(d + 2) + 18 + -2(2d + 5) = 5 + -1(-3d) Reorder the terms: -2(2 + d) + 18 + -2(2d + 5) = 5 + -1(-3d) (2 * -2 + d * -2) + 18 + -2(2d + 5) = 5 + -1(-3d) (-4 + -2d) + 18 + -2(2d + 5) = 5 + -1(-3d) Reorder the terms: -4 + -2d + 18 + -2(5 + 2d) = 5 + -1(-3d) -4 + -2d + 18 + (5 * -2 + 2d * -2) = 5 + -1(-3d) -4 + -2d + 18 + (-10 + -4d) = 5 + -1(-3d) Reorder the terms: -4 + 18 + -10 + -2d + -4d = 5 + -1(-3d) Combine like terms: -4 + 18 = 14 14 + -10 + -2d + -4d = 5 + -1(-3d) Combine like terms: 14 + -10 = 4 4 + -2d + -4d = 5 + -1(-3d) Combine like terms: -2d + -4d = -6d 4 + -6d = 5 + -1(-3d) Remove parenthesis around (-3d) 4 + -6d = 5 + -1 * -3d Multiply -1 * -3 4 + -6d = 5 + 3d Solving 4 + -6d = 5 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 4 + -6d + -3d = 5 + 3d + -3d Combine like terms: -6d + -3d = -9d 4 + -9d = 5 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + -9d = 5 + 0 4 + -9d = 5 Add '-4' to each side of the equation. 4 + -4 + -9d = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -9d = 5 + -4 -9d = 5 + -4 Combine like terms: 5 + -4 = 1 -9d = 1 Divide each side by '-9'. d = -0.1111111111 Simplifying d = -0.1111111111
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