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Simplifying C + 5(c + -6) = c + 11 + 24 Reorder the terms: C + 5(-6 + c) = c + 11 + 24 C + (-6 * 5 + c * 5) = c + 11 + 24 C + (-30 + 5c) = c + 11 + 24 Reorder the terms: -30 + C + 5c = c + 11 + 24 Reorder the terms: -30 + C + 5c = 11 + 24 + c Combine like terms: 11 + 24 = 35 -30 + C + 5c = 35 + c Solving -30 + C + 5c = 35 + c Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '30' to each side of the equation. -30 + C + 30 + 5c = 35 + 30 + c Reorder the terms: -30 + 30 + C + 5c = 35 + 30 + c Combine like terms: -30 + 30 = 0 0 + C + 5c = 35 + 30 + c C + 5c = 35 + 30 + c Combine like terms: 35 + 30 = 65 C + 5c = 65 + c Add '-5c' to each side of the equation. C + 5c + -5c = 65 + c + -5c Combine like terms: 5c + -5c = 0 C + 0 = 65 + c + -5c C = 65 + c + -5c Combine like terms: c + -5c = -4c C = 65 + -4c Simplifying C = 65 + -4c
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