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Simplifying 11(c + -2) = 3(c + 6) Reorder the terms: 11(-2 + c) = 3(c + 6) (-2 * 11 + c * 11) = 3(c + 6) (-22 + 11c) = 3(c + 6) Reorder the terms: -22 + 11c = 3(6 + c) -22 + 11c = (6 * 3 + c * 3) -22 + 11c = (18 + 3c) Solving -22 + 11c = 18 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -22 + 11c + -3c = 18 + 3c + -3c Combine like terms: 11c + -3c = 8c -22 + 8c = 18 + 3c + -3c Combine like terms: 3c + -3c = 0 -22 + 8c = 18 + 0 -22 + 8c = 18 Add '22' to each side of the equation. -22 + 22 + 8c = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 8c = 18 + 22 8c = 18 + 22 Combine like terms: 18 + 22 = 40 8c = 40 Divide each side by '8'. c = 5 Simplifying c = 5
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