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Simplifying 11(c + -3) + 6 = 3 + c + -30 Reorder the terms: 11(-3 + c) + 6 = 3 + c + -30 (-3 * 11 + c * 11) + 6 = 3 + c + -30 (-33 + 11c) + 6 = 3 + c + -30 Reorder the terms: -33 + 6 + 11c = 3 + c + -30 Combine like terms: -33 + 6 = -27 -27 + 11c = 3 + c + -30 Reorder the terms: -27 + 11c = 3 + -30 + c Combine like terms: 3 + -30 = -27 -27 + 11c = -27 + c Add '27' to each side of the equation. -27 + 27 + 11c = -27 + 27 + c Combine like terms: -27 + 27 = 0 0 + 11c = -27 + 27 + c 11c = -27 + 27 + c Combine like terms: -27 + 27 = 0 11c = 0 + c 11c = c Solving 11c = 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. 11c + -1c = c + -1c Combine like terms: 11c + -1c = 10c 10c = c + -1c Combine like terms: c + -1c = 0 10c = 0 Divide each side by '10'. c = 0.0 Simplifying c = 0.0
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