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Simplifying 5(2c + 3) + -12(-6 + -1c) = 11(4c + 7) Reorder the terms: 5(3 + 2c) + -12(-6 + -1c) = 11(4c + 7) (3 * 5 + 2c * 5) + -12(-6 + -1c) = 11(4c + 7) (15 + 10c) + -12(-6 + -1c) = 11(4c + 7) 15 + 10c + (-6 * -12 + -1c * -12) = 11(4c + 7) 15 + 10c + (72 + 12c) = 11(4c + 7) Reorder the terms: 15 + 72 + 10c + 12c = 11(4c + 7) Combine like terms: 15 + 72 = 87 87 + 10c + 12c = 11(4c + 7) Combine like terms: 10c + 12c = 22c 87 + 22c = 11(4c + 7) Reorder the terms: 87 + 22c = 11(7 + 4c) 87 + 22c = (7 * 11 + 4c * 11) 87 + 22c = (77 + 44c) Solving 87 + 22c = 77 + 44c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-44c' to each side of the equation. 87 + 22c + -44c = 77 + 44c + -44c Combine like terms: 22c + -44c = -22c 87 + -22c = 77 + 44c + -44c Combine like terms: 44c + -44c = 0 87 + -22c = 77 + 0 87 + -22c = 77 Add '-87' to each side of the equation. 87 + -87 + -22c = 77 + -87 Combine like terms: 87 + -87 = 0 0 + -22c = 77 + -87 -22c = 77 + -87 Combine like terms: 77 + -87 = -10 -22c = -10 Divide each side by '-22'. c = 0.4545454545 Simplifying c = 0.4545454545
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