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Simplifying 5d + 2[2 + -1d] = 3[1 + d] + 1 5d + [2 * 2 + -1d * 2] = 3[1 + d] + 1 5d + [4 + -2d] = 3[1 + d] + 1 Reorder the terms: 4 + 5d + -2d = 3[1 + d] + 1 Combine like terms: 5d + -2d = 3d 4 + 3d = 3[1 + d] + 1 4 + 3d = [1 * 3 + d * 3] + 1 4 + 3d = [3 + 3d] + 1 Reorder the terms: 4 + 3d = 3 + 1 + 3d Combine like terms: 3 + 1 = 4 4 + 3d = 4 + 3d Add '-4' to each side of the equation. 4 + -4 + 3d = 4 + -4 + 3d Combine like terms: 4 + -4 = 0 0 + 3d = 4 + -4 + 3d 3d = 4 + -4 + 3d Combine like terms: 4 + -4 = 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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