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Simplifying 826 = 11(c + 27) + -120 Reorder the terms: 826 = 11(27 + c) + -120 826 = (27 * 11 + c * 11) + -120 826 = (297 + 11c) + -120 Reorder the terms: 826 = 297 + -120 + 11c Combine like terms: 297 + -120 = 177 826 = 177 + 11c Solving 826 = 177 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 826 + -11c = 177 + 11c + -11c Combine like terms: 11c + -11c = 0 826 + -11c = 177 + 0 826 + -11c = 177 Add '-826' to each side of the equation. 826 + -826 + -11c = 177 + -826 Combine like terms: 826 + -826 = 0 0 + -11c = 177 + -826 -11c = 177 + -826 Combine like terms: 177 + -826 = -649 -11c = -649 Divide each side by '-11'. c = 59 Simplifying c = 59
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