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Simplifying 12d2(7d + -3) = 5d(7d + -3) + 2(7d + 3) Reorder the terms: 12d2(-3 + 7d) = 5d(7d + -3) + 2(7d + 3) (-3 * 12d2 + 7d * 12d2) = 5d(7d + -3) + 2(7d + 3) (-36d2 + 84d3) = 5d(7d + -3) + 2(7d + 3) Reorder the terms: -36d2 + 84d3 = 5d(-3 + 7d) + 2(7d + 3) -36d2 + 84d3 = (-3 * 5d + 7d * 5d) + 2(7d + 3) -36d2 + 84d3 = (-15d + 35d2) + 2(7d + 3) Reorder the terms: -36d2 + 84d3 = -15d + 35d2 + 2(3 + 7d) -36d2 + 84d3 = -15d + 35d2 + (3 * 2 + 7d * 2) -36d2 + 84d3 = -15d + 35d2 + (6 + 14d) Reorder the terms: -36d2 + 84d3 = 6 + -15d + 14d + 35d2 Combine like terms: -15d + 14d = -1d -36d2 + 84d3 = 6 + -1d + 35d2 Solving -36d2 + 84d3 = 6 + -1d + 35d2 Solving for variable 'd'. Reorder the terms: -6 + d + -36d2 + -35d2 + 84d3 = 6 + -1d + 35d2 + -6 + d + -35d2 Combine like terms: -36d2 + -35d2 = -71d2 -6 + d + -71d2 + 84d3 = 6 + -1d + 35d2 + -6 + d + -35d2 Reorder the terms: -6 + d + -71d2 + 84d3 = 6 + -6 + -1d + d + 35d2 + -35d2 Combine like terms: 6 + -6 = 0 -6 + d + -71d2 + 84d3 = 0 + -1d + d + 35d2 + -35d2 -6 + d + -71d2 + 84d3 = -1d + d + 35d2 + -35d2 Combine like terms: -1d + d = 0 -6 + d + -71d2 + 84d3 = 0 + 35d2 + -35d2 -6 + d + -71d2 + 84d3 = 35d2 + -35d2 Combine like terms: 35d2 + -35d2 = 0 -6 + d + -71d2 + 84d3 = 0 The solution to this equation could not be determined.
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