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Simplifying 2(3c + -5) = 12 + -3c Reorder the terms: 2(-5 + 3c) = 12 + -3c (-5 * 2 + 3c * 2) = 12 + -3c (-10 + 6c) = 12 + -3c Solving -10 + 6c = 12 + -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. -10 + 6c + 3c = 12 + -3c + 3c Combine like terms: 6c + 3c = 9c -10 + 9c = 12 + -3c + 3c Combine like terms: -3c + 3c = 0 -10 + 9c = 12 + 0 -10 + 9c = 12 Add '10' to each side of the equation. -10 + 10 + 9c = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 9c = 12 + 10 9c = 12 + 10 Combine like terms: 12 + 10 = 22 9c = 22 Divide each side by '9'. c = 2.444444444 Simplifying c = 2.444444444
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