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Simplifying 5(c + -2) = 3(c + 6) Reorder the terms: 5(-2 + c) = 3(c + 6) (-2 * 5 + c * 5) = 3(c + 6) (-10 + 5c) = 3(c + 6) Reorder the terms: -10 + 5c = 3(6 + c) -10 + 5c = (6 * 3 + c * 3) -10 + 5c = (18 + 3c) Solving -10 + 5c = 18 + 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 + 5c + -3c = 18 + 3c + -3c Combine like terms: 5c + -3c = 2c -10 + 2c = 18 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + 2c = 18 + 0 -10 + 2c = 18 Add '10' to each side of the equation. -10 + 10 + 2c = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2c = 18 + 10 2c = 18 + 10 Combine like terms: 18 + 10 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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