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Simplifying 8 + 7(5 + -3c) + 4c = 0 8 + (5 * 7 + -3c * 7) + 4c = 0 8 + (35 + -21c) + 4c = 0 Combine like terms: 8 + 35 = 43 43 + -21c + 4c = 0 Combine like terms: -21c + 4c = -17c 43 + -17c = 0 Solving 43 + -17c = 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 + -17c = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -17c = 0 + -43 -17c = 0 + -43 Combine like terms: 0 + -43 = -43 -17c = -43 Divide each side by '-17'. c = 2.529411765 Simplifying c = 2.529411765
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