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Simplifying 9q2(8q + -3) = 32(8q + -3) + 12q(8q + -3) Reorder the terms: 9q2(-3 + 8q) = 32(8q + -3) + 12q(8q + -3) (-3 * 9q2 + 8q * 9q2) = 32(8q + -3) + 12q(8q + -3) (-27q2 + 72q3) = 32(8q + -3) + 12q(8q + -3) Reorder the terms: -27q2 + 72q3 = 32(-3 + 8q) + 12q(8q + -3) -27q2 + 72q3 = (-3 * 32 + 8q * 32) + 12q(8q + -3) -27q2 + 72q3 = (-96 + 256q) + 12q(8q + -3) Reorder the terms: -27q2 + 72q3 = -96 + 256q + 12q(-3 + 8q) -27q2 + 72q3 = -96 + 256q + (-3 * 12q + 8q * 12q) -27q2 + 72q3 = -96 + 256q + (-36q + 96q2) Combine like terms: 256q + -36q = 220q -27q2 + 72q3 = -96 + 220q + 96q2 Solving -27q2 + 72q3 = -96 + 220q + 96q2 Solving for variable 'q'. Reorder the terms: 96 + -220q + -27q2 + -96q2 + 72q3 = -96 + 220q + 96q2 + 96 + -220q + -96q2 Combine like terms: -27q2 + -96q2 = -123q2 96 + -220q + -123q2 + 72q3 = -96 + 220q + 96q2 + 96 + -220q + -96q2 Reorder the terms: 96 + -220q + -123q2 + 72q3 = -96 + 96 + 220q + -220q + 96q2 + -96q2 Combine like terms: -96 + 96 = 0 96 + -220q + -123q2 + 72q3 = 0 + 220q + -220q + 96q2 + -96q2 96 + -220q + -123q2 + 72q3 = 220q + -220q + 96q2 + -96q2 Combine like terms: 220q + -220q = 0 96 + -220q + -123q2 + 72q3 = 0 + 96q2 + -96q2 96 + -220q + -123q2 + 72q3 = 96q2 + -96q2 Combine like terms: 96q2 + -96q2 = 0 96 + -220q + -123q2 + 72q3 = 0 The solution to this equation could not be determined.
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