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Simplifying (3d + 7) + -1d + 5 = 2d + 12 Reorder the terms: (7 + 3d) + -1d + 5 = 2d + 12 Remove parenthesis around (7 + 3d) 7 + 3d + -1d + 5 = 2d + 12 Reorder the terms: 7 + 5 + 3d + -1d = 2d + 12 Combine like terms: 7 + 5 = 12 12 + 3d + -1d = 2d + 12 Combine like terms: 3d + -1d = 2d 12 + 2d = 2d + 12 Reorder the terms: 12 + 2d = 12 + 2d Add '-12' to each side of the equation. 12 + -12 + 2d = 12 + -12 + 2d Combine like terms: 12 + -12 = 0 0 + 2d = 12 + -12 + 2d 2d = 12 + -12 + 2d Combine like terms: 12 + -12 = 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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