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Simplifying 3(3 + -1d) + -19 = 17d + -5(2 + 4d) (3 * 3 + -1d * 3) + -19 = 17d + -5(2 + 4d) (9 + -3d) + -19 = 17d + -5(2 + 4d) Reorder the terms: 9 + -19 + -3d = 17d + -5(2 + 4d) Combine like terms: 9 + -19 = -10 -10 + -3d = 17d + -5(2 + 4d) -10 + -3d = 17d + (2 * -5 + 4d * -5) -10 + -3d = 17d + (-10 + -20d) Reorder the terms: -10 + -3d = -10 + 17d + -20d Combine like terms: 17d + -20d = -3d -10 + -3d = -10 + -3d Add '10' to each side of the equation. -10 + 10 + -3d = -10 + 10 + -3d Combine like terms: -10 + 10 = 0 0 + -3d = -10 + 10 + -3d -3d = -10 + 10 + -3d Combine like terms: -10 + 10 = 0 -3d = 0 + -3d -3d = -3d Add '3d' to each side of the equation. -3d + 3d = -3d + 3d Combine like terms: -3d + 3d = 0 0 = -3d + 3d Combine like terms: -3d + 3d = 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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