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Simplifying (5d + 9) + -1(3d + -13) = 2(11 + d) Reorder the terms: (9 + 5d) + -1(3d + -13) = 2(11 + d) Remove parenthesis around (9 + 5d) 9 + 5d + -1(3d + -13) = 2(11 + d) Reorder the terms: 9 + 5d + -1(-13 + 3d) = 2(11 + d) 9 + 5d + (-13 * -1 + 3d * -1) = 2(11 + d) 9 + 5d + (13 + -3d) = 2(11 + d) Reorder the terms: 9 + 13 + 5d + -3d = 2(11 + d) Combine like terms: 9 + 13 = 22 22 + 5d + -3d = 2(11 + d) Combine like terms: 5d + -3d = 2d 22 + 2d = 2(11 + d) 22 + 2d = (11 * 2 + d * 2) 22 + 2d = (22 + 2d) Add '-22' to each side of the equation. 22 + -22 + 2d = 22 + -22 + 2d Combine like terms: 22 + -22 = 0 0 + 2d = 22 + -22 + 2d 2d = 22 + -22 + 2d Combine like terms: 22 + -22 = 0 2d = 0 + 2d 2d = 2d Add '-2d' to each side of the equation. 2d + -2d = 2d + -2d Combine like terms: 2d + -2d = 0 0 = 2d + -2d Combine like terms: 2d + -2d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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