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Simplifying 5(3c + -2) + -7c = 40 + -2c Reorder the terms: 5(-2 + 3c) + -7c = 40 + -2c (-2 * 5 + 3c * 5) + -7c = 40 + -2c (-10 + 15c) + -7c = 40 + -2c Combine like terms: 15c + -7c = 8c -10 + 8c = 40 + -2c Solving -10 + 8c = 40 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -10 + 8c + 2c = 40 + -2c + 2c Combine like terms: 8c + 2c = 10c -10 + 10c = 40 + -2c + 2c Combine like terms: -2c + 2c = 0 -10 + 10c = 40 + 0 -10 + 10c = 40 Add '10' to each side of the equation. -10 + 10 + 10c = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 10c = 40 + 10 10c = 40 + 10 Combine like terms: 40 + 10 = 50 10c = 50 Divide each side by '10'. c = 5 Simplifying c = 5
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