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Simplifying 2(3c + -5) = 4c + -12 Reorder the terms: 2(-5 + 3c) = 4c + -12 (-5 * 2 + 3c * 2) = 4c + -12 (-10 + 6c) = 4c + -12 Reorder the terms: -10 + 6c = -12 + 4c Solving -10 + 6c = -12 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -10 + 6c + -4c = -12 + 4c + -4c Combine like terms: 6c + -4c = 2c -10 + 2c = -12 + 4c + -4c Combine like terms: 4c + -4c = 0 -10 + 2c = -12 + 0 -10 + 2c = -12 Add '10' to each side of the equation. -10 + 10 + 2c = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = -12 + 10 2c = -12 + 10 Combine like terms: -12 + 10 = -2 2c = -2 Divide each side by '2'. c = -1 Simplifying c = -1
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