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Simplifying 3(8 + -1d) + -42 = 27d + -6(3 + 5d) (8 * 3 + -1d * 3) + -42 = 27d + -6(3 + 5d) (24 + -3d) + -42 = 27d + -6(3 + 5d) Reorder the terms: 24 + -42 + -3d = 27d + -6(3 + 5d) Combine like terms: 24 + -42 = -18 -18 + -3d = 27d + -6(3 + 5d) -18 + -3d = 27d + (3 * -6 + 5d * -6) -18 + -3d = 27d + (-18 + -30d) Reorder the terms: -18 + -3d = -18 + 27d + -30d Combine like terms: 27d + -30d = -3d -18 + -3d = -18 + -3d Add '18' to each side of the equation. -18 + 18 + -3d = -18 + 18 + -3d Combine like terms: -18 + 18 = 0 0 + -3d = -18 + 18 + -3d -3d = -18 + 18 + -3d Combine like terms: -18 + 18 = 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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