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Simplifying 9C(c + -11) + 10(5c + -3) = c(6c + -3) + c(6c + -3) + -30 Reorder the terms: 9C(-11 + c) + 10(5c + -3) = c(6c + -3) + c(6c + -3) + -30 (-11 * 9C + c * 9C) + 10(5c + -3) = c(6c + -3) + c(6c + -3) + -30 (-99C + 9cC) + 10(5c + -3) = c(6c + -3) + c(6c + -3) + -30 Reorder the terms: -99C + 9cC + 10(-3 + 5c) = c(6c + -3) + c(6c + -3) + -30 -99C + 9cC + (-3 * 10 + 5c * 10) = c(6c + -3) + c(6c + -3) + -30 -99C + 9cC + (-30 + 50c) = c(6c + -3) + c(6c + -3) + -30 Reorder the terms: -30 + -99C + 50c + 9cC = c(6c + -3) + c(6c + -3) + -30 Reorder the terms: -30 + -99C + 50c + 9cC = c(-3 + 6c) + c(6c + -3) + -30 -30 + -99C + 50c + 9cC = (-3 * c + 6c * c) + c(6c + -3) + -30 -30 + -99C + 50c + 9cC = (-3c + 6c2) + c(6c + -3) + -30 Reorder the terms: -30 + -99C + 50c + 9cC = -3c + 6c2 + c(-3 + 6c) + -30 -30 + -99C + 50c + 9cC = -3c + 6c2 + (-3 * c + 6c * c) + -30 -30 + -99C + 50c + 9cC = -3c + 6c2 + (-3c + 6c2) + -30 Reorder the terms: -30 + -99C + 50c + 9cC = -30 + -3c + -3c + 6c2 + 6c2 Combine like terms: -3c + -3c = -6c -30 + -99C + 50c + 9cC = -30 + -6c + 6c2 + 6c2 Combine like terms: 6c2 + 6c2 = 12c2 -30 + -99C + 50c + 9cC = -30 + -6c + 12c2 Add '30' to each side of the equation. -30 + -99C + 50c + 30 + 9cC = -30 + -6c + 30 + 12c2 Reorder the terms: -30 + 30 + -99C + 50c + 9cC = -30 + -6c + 30 + 12c2 Combine like terms: -30 + 30 = 0 0 + -99C + 50c + 9cC = -30 + -6c + 30 + 12c2 -99C + 50c + 9cC = -30 + -6c + 30 + 12c2 Reorder the terms: -99C + 50c + 9cC = -30 + 30 + -6c + 12c2 Combine like terms: -30 + 30 = 0 -99C + 50c + 9cC = 0 + -6c + 12c2 -99C + 50c + 9cC = -6c + 12c2 Solving -99C + 50c + 9cC = -6c + 12c2 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-50c' to each side of the equation. -99C + 50c + -50c + 9cC = -6c + -50c + 12c2 Combine like terms: 50c + -50c = 0 -99C + 0 + 9cC = -6c + -50c + 12c2 -99C + 9cC = -6c + -50c + 12c2 Combine like terms: -6c + -50c = -56c -99C + 9cC = -56c + 12c2 Reorder the terms: -99C + 56c + 9cC + -12c2 = -56c + 12c2 + 56c + -12c2 Reorder the terms: -99C + 56c + 9cC + -12c2 = -56c + 56c + 12c2 + -12c2 Combine like terms: -56c + 56c = 0 -99C + 56c + 9cC + -12c2 = 0 + 12c2 + -12c2 -99C + 56c + 9cC + -12c2 = 12c2 + -12c2 Combine like terms: 12c2 + -12c2 = 0 -99C + 56c + 9cC + -12c2 = 0 The solution to this equation could not be determined.
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