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Simplifying 3(5 + -1d) + -27 = 21d + -6(2 + 4d) (5 * 3 + -1d * 3) + -27 = 21d + -6(2 + 4d) (15 + -3d) + -27 = 21d + -6(2 + 4d) Reorder the terms: 15 + -27 + -3d = 21d + -6(2 + 4d) Combine like terms: 15 + -27 = -12 -12 + -3d = 21d + -6(2 + 4d) -12 + -3d = 21d + (2 * -6 + 4d * -6) -12 + -3d = 21d + (-12 + -24d) Reorder the terms: -12 + -3d = -12 + 21d + -24d Combine like terms: 21d + -24d = -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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