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Simplifying 5(5c + -10) + -6c = 3c + 14 Reorder the terms: 5(-10 + 5c) + -6c = 3c + 14 (-10 * 5 + 5c * 5) + -6c = 3c + 14 (-50 + 25c) + -6c = 3c + 14 Combine like terms: 25c + -6c = 19c -50 + 19c = 3c + 14 Reorder the terms: -50 + 19c = 14 + 3c Solving -50 + 19c = 14 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -50 + 19c + -3c = 14 + 3c + -3c Combine like terms: 19c + -3c = 16c -50 + 16c = 14 + 3c + -3c Combine like terms: 3c + -3c = 0 -50 + 16c = 14 + 0 -50 + 16c = 14 Add '50' to each side of the equation. -50 + 50 + 16c = 14 + 50 Combine like terms: -50 + 50 = 0 0 + 16c = 14 + 50 16c = 14 + 50 Combine like terms: 14 + 50 = 64 16c = 64 Divide each side by '16'. c = 4 Simplifying c = 4
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