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Simplifying 5(c + 8) + c + 3 = 0 Reorder the terms: 5(8 + c) + c + 3 = 0 (8 * 5 + c * 5) + c + 3 = 0 (40 + 5c) + c + 3 = 0 Reorder the terms: 40 + 3 + 5c + c = 0 Combine like terms: 40 + 3 = 43 43 + 5c + c = 0 Combine like terms: 5c + c = 6c 43 + 6c = 0 Solving 43 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 6c = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 6c = 0 + -43 6c = 0 + -43 Combine like terms: 0 + -43 = -43 6c = -43 Divide each side by '6'. c = -7.166666667 Simplifying c = -7.166666667
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