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Simplifying 5(c + -6) + c = c + 11 + 24 Reorder the terms: 5(-6 + c) + c = c + 11 + 24 (-6 * 5 + c * 5) + c = c + 11 + 24 (-30 + 5c) + c = c + 11 + 24 Combine like terms: 5c + c = 6c -30 + 6c = c + 11 + 24 Reorder the terms: -30 + 6c = 11 + 24 + c Combine like terms: 11 + 24 = 35 -30 + 6c = 35 + c Solving -30 + 6c = 35 + 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. -30 + 6c + -1c = 35 + c + -1c Combine like terms: 6c + -1c = 5c -30 + 5c = 35 + c + -1c Combine like terms: c + -1c = 0 -30 + 5c = 35 + 0 -30 + 5c = 35 Add '30' to each side of the equation. -30 + 30 + 5c = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 5c = 35 + 30 5c = 35 + 30 Combine like terms: 35 + 30 = 65 5c = 65 Divide each side by '5'. c = 13 Simplifying c = 13
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