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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 = -57 -57 + 10c + 12c = 11(4c + 7) Combine like terms: 10c + 12c = 22c -57 + 22c = 11(4c + 7) Reorder the terms: -57 + 22c = 11(7 + 4c) -57 + 22c = (7 * 11 + 4c * 11) -57 + 22c = (77 + 44c) Solving -57 + 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. -57 + 22c + -44c = 77 + 44c + -44c Combine like terms: 22c + -44c = -22c -57 + -22c = 77 + 44c + -44c Combine like terms: 44c + -44c = 0 -57 + -22c = 77 + 0 -57 + -22c = 77 Add '57' to each side of the equation. -57 + 57 + -22c = 77 + 57 Combine like terms: -57 + 57 = 0 0 + -22c = 77 + 57 -22c = 77 + 57 Combine like terms: 77 + 57 = 134 -22c = 134 Divide each side by '-22'. c = -6.090909091 Simplifying c = -6.090909091
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