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Simplifying 8(9 + 5c) + -5(7 + -8c) = 0 (9 * 8 + 5c * 8) + -5(7 + -8c) = 0 (72 + 40c) + -5(7 + -8c) = 0 72 + 40c + (7 * -5 + -8c * -5) = 0 72 + 40c + (-35 + 40c) = 0 Reorder the terms: 72 + -35 + 40c + 40c = 0 Combine like terms: 72 + -35 = 37 37 + 40c + 40c = 0 Combine like terms: 40c + 40c = 80c 37 + 80c = 0 Solving 37 + 80c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 80c = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 80c = 0 + -37 80c = 0 + -37 Combine like terms: 0 + -37 = -37 80c = -37 Divide each side by '80'. c = -0.4625 Simplifying c = -0.4625
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