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Simplifying 7c + -2(3c + 1) = 5(4 + -2c) Reorder the terms: 7c + -2(1 + 3c) = 5(4 + -2c) 7c + (1 * -2 + 3c * -2) = 5(4 + -2c) 7c + (-2 + -6c) = 5(4 + -2c) Reorder the terms: -2 + 7c + -6c = 5(4 + -2c) Combine like terms: 7c + -6c = 1c -2 + 1c = 5(4 + -2c) -2 + 1c = (4 * 5 + -2c * 5) -2 + 1c = (20 + -10c) Solving -2 + 1c = 20 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. -2 + 1c + 10c = 20 + -10c + 10c Combine like terms: 1c + 10c = 11c -2 + 11c = 20 + -10c + 10c Combine like terms: -10c + 10c = 0 -2 + 11c = 20 + 0 -2 + 11c = 20 Add '2' to each side of the equation. -2 + 2 + 11c = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 11c = 20 + 2 11c = 20 + 2 Combine like terms: 20 + 2 = 22 11c = 22 Divide each side by '11'. c = 2 Simplifying c = 2
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