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Simplifying 2(2c + 9y) = -11(26y + 49c) (2c * 2 + 9y * 2) = -11(26y + 49c) (4c + 18y) = -11(26y + 49c) Reorder the terms: 4c + 18y = -11(49c + 26y) 4c + 18y = (49c * -11 + 26y * -11) 4c + 18y = (-539c + -286y) Solving 4c + 18y = -539c + -286y Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '539c' to each side of the equation. 4c + 539c + 18y = -539c + 539c + -286y Combine like terms: 4c + 539c = 543c 543c + 18y = -539c + 539c + -286y Combine like terms: -539c + 539c = 0 543c + 18y = 0 + -286y 543c + 18y = -286y Add '-18y' to each side of the equation. 543c + 18y + -18y = -286y + -18y Combine like terms: 18y + -18y = 0 543c + 0 = -286y + -18y 543c = -286y + -18y Combine like terms: -286y + -18y = -304y 543c = -304y Divide each side by '543'. c = -0.5598526703y Simplifying c = -0.5598526703y
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