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Simplifying 3(8 + -1d) + -36 = 17d + -4(3 + 5d) (8 * 3 + -1d * 3) + -36 = 17d + -4(3 + 5d) (24 + -3d) + -36 = 17d + -4(3 + 5d) Reorder the terms: 24 + -36 + -3d = 17d + -4(3 + 5d) Combine like terms: 24 + -36 = -12 -12 + -3d = 17d + -4(3 + 5d) -12 + -3d = 17d + (3 * -4 + 5d * -4) -12 + -3d = 17d + (-12 + -20d) Reorder the terms: -12 + -3d = -12 + 17d + -20d Combine like terms: 17d + -20d = -3d -12 + -3d = -12 + -3d Add '12' to each side of the equation. -12 + 12 + -3d = -12 + 12 + -3d Combine like terms: -12 + 12 = 0 0 + -3d = -12 + 12 + -3d -3d = -12 + 12 + -3d Combine like terms: -12 + 12 = 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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