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Simplifying 2(3c + -5) = 5 + c Reorder the terms: 2(-5 + 3c) = 5 + c (-5 * 2 + 3c * 2) = 5 + c (-10 + 6c) = 5 + c Solving -10 + 6c = 5 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -10 + 6c + -1c = 5 + c + -1c Combine like terms: 6c + -1c = 5c -10 + 5c = 5 + c + -1c Combine like terms: c + -1c = 0 -10 + 5c = 5 + 0 -10 + 5c = 5 Add '10' to each side of the equation. -10 + 10 + 5c = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 5 + 10 5c = 5 + 10 Combine like terms: 5 + 10 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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