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Simplifying 5(3c + 8) + 6(86 + 2c) + 1 = 0 Reorder the terms: 5(8 + 3c) + 6(86 + 2c) + 1 = 0 (8 * 5 + 3c * 5) + 6(86 + 2c) + 1 = 0 (40 + 15c) + 6(86 + 2c) + 1 = 0 40 + 15c + (86 * 6 + 2c * 6) + 1 = 0 40 + 15c + (516 + 12c) + 1 = 0 Reorder the terms: 40 + 516 + 1 + 15c + 12c = 0 Combine like terms: 40 + 516 = 556 556 + 1 + 15c + 12c = 0 Combine like terms: 556 + 1 = 557 557 + 15c + 12c = 0 Combine like terms: 15c + 12c = 27c 557 + 27c = 0 Solving 557 + 27c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-557' to each side of the equation. 557 + -557 + 27c = 0 + -557 Combine like terms: 557 + -557 = 0 0 + 27c = 0 + -557 27c = 0 + -557 Combine like terms: 0 + -557 = -557 27c = -557 Divide each side by '27'. c = -20.62962963 Simplifying c = -20.62962963
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