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Simplifying 3[11 + c] = 19 + c [11 * 3 + c * 3] = 19 + c [33 + 3c] = 19 + c Solving 33 + 3c = 19 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 33 + 3c + -1c = 19 + c + -1c Combine like terms: 3c + -1c = 2c 33 + 2c = 19 + c + -1c Combine like terms: c + -1c = 0 33 + 2c = 19 + 0 33 + 2c = 19 Add '-33' to each side of the equation. 33 + -33 + 2c = 19 + -33 Combine like terms: 33 + -33 = 0 0 + 2c = 19 + -33 2c = 19 + -33 Combine like terms: 19 + -33 = -14 2c = -14 Divide each side by '2'. c = -7 Simplifying c = -7
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