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Simplifying 3(c + 2) + 5(c + -5) = 0 Reorder the terms: 3(2 + c) + 5(c + -5) = 0 (2 * 3 + c * 3) + 5(c + -5) = 0 (6 + 3c) + 5(c + -5) = 0 Reorder the terms: 6 + 3c + 5(-5 + c) = 0 6 + 3c + (-5 * 5 + c * 5) = 0 6 + 3c + (-25 + 5c) = 0 Reorder the terms: 6 + -25 + 3c + 5c = 0 Combine like terms: 6 + -25 = -19 -19 + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -19 + 8c = 0 Solving -19 + 8c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8c = 0 + 19 8c = 0 + 19 Combine like terms: 0 + 19 = 19 8c = 19 Divide each side by '8'. c = 2.375 Simplifying c = 2.375
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