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Simplifying 11(C + -3) = 5(C + 3) Reorder the terms: 11(-3 + C) = 5(C + 3) (-3 * 11 + C * 11) = 5(C + 3) (-33 + 11C) = 5(C + 3) Reorder the terms: -33 + 11C = 5(3 + C) -33 + 11C = (3 * 5 + C * 5) -33 + 11C = (15 + 5C) Solving -33 + 11C = 15 + 5C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-5C' to each side of the equation. -33 + 11C + -5C = 15 + 5C + -5C Combine like terms: 11C + -5C = 6C -33 + 6C = 15 + 5C + -5C Combine like terms: 5C + -5C = 0 -33 + 6C = 15 + 0 -33 + 6C = 15 Add '33' to each side of the equation. -33 + 33 + 6C = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 6C = 15 + 33 6C = 15 + 33 Combine like terms: 15 + 33 = 48 6C = 48 Divide each side by '6'. C = 8 Simplifying C = 8
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