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Simplifying 9c(c + -11) + 10(5c + 5) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: 9c(-11 + c) + 10(5c + 5) = 3c(c + 5) + c(6c + -3) + -30 (-11 * 9c + c * 9c) + 10(5c + 5) = 3c(c + 5) + c(6c + -3) + -30 (-99c + 9c2) + 10(5c + 5) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: -99c + 9c2 + 10(5 + 5c) = 3c(c + 5) + c(6c + -3) + -30 -99c + 9c2 + (5 * 10 + 5c * 10) = 3c(c + 5) + c(6c + -3) + -30 -99c + 9c2 + (50 + 50c) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: 50 + -99c + 50c + 9c2 = 3c(c + 5) + c(6c + -3) + -30 Combine like terms: -99c + 50c = -49c 50 + -49c + 9c2 = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: 50 + -49c + 9c2 = 3c(5 + c) + c(6c + -3) + -30 50 + -49c + 9c2 = (5 * 3c + c * 3c) + c(6c + -3) + -30 50 + -49c + 9c2 = (15c + 3c2) + c(6c + -3) + -30 Reorder the terms: 50 + -49c + 9c2 = 15c + 3c2 + c(-3 + 6c) + -30 50 + -49c + 9c2 = 15c + 3c2 + (-3 * c + 6c * c) + -30 50 + -49c + 9c2 = 15c + 3c2 + (-3c + 6c2) + -30 Reorder the terms: 50 + -49c + 9c2 = -30 + 15c + -3c + 3c2 + 6c2 Combine like terms: 15c + -3c = 12c 50 + -49c + 9c2 = -30 + 12c + 3c2 + 6c2 Combine like terms: 3c2 + 6c2 = 9c2 50 + -49c + 9c2 = -30 + 12c + 9c2 Add '-9c2' to each side of the equation. 50 + -49c + 9c2 + -9c2 = -30 + 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 50 + -49c + 0 = -30 + 12c + 9c2 + -9c2 50 + -49c = -30 + 12c + 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 50 + -49c = -30 + 12c + 0 50 + -49c = -30 + 12c Solving 50 + -49c = -30 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 50 + -49c + -12c = -30 + 12c + -12c Combine like terms: -49c + -12c = -61c 50 + -61c = -30 + 12c + -12c Combine like terms: 12c + -12c = 0 50 + -61c = -30 + 0 50 + -61c = -30 Add '-50' to each side of the equation. 50 + -50 + -61c = -30 + -50 Combine like terms: 50 + -50 = 0 0 + -61c = -30 + -50 -61c = -30 + -50 Combine like terms: -30 + -50 = -80 -61c = -80 Divide each side by '-61'. c = 1.31147541 Simplifying c = 1.31147541
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