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Simplifying 5(2c + -2) = 3c + 5 Reorder the terms: 5(-2 + 2c) = 3c + 5 (-2 * 5 + 2c * 5) = 3c + 5 (-10 + 10c) = 3c + 5 Reorder the terms: -10 + 10c = 5 + 3c Solving -10 + 10c = 5 + 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 + 10c + -3c = 5 + 3c + -3c Combine like terms: 10c + -3c = 7c -10 + 7c = 5 + 3c + -3c Combine like terms: 3c + -3c = 0 -10 + 7c = 5 + 0 -10 + 7c = 5 Add '10' to each side of the equation. -10 + 10 + 7c = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 7c = 5 + 10 7c = 5 + 10 Combine like terms: 5 + 10 = 15 7c = 15 Divide each side by '7'. c = 2.142857143 Simplifying c = 2.142857143
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