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Simplifying 2(5c + 2) + -2c = 6c + -9 + 7 Reorder the terms: 2(2 + 5c) + -2c = 6c + -9 + 7 (2 * 2 + 5c * 2) + -2c = 6c + -9 + 7 (4 + 10c) + -2c = 6c + -9 + 7 Combine like terms: 10c + -2c = 8c 4 + 8c = 6c + -9 + 7 Reorder the terms: 4 + 8c = -9 + 7 + 6c Combine like terms: -9 + 7 = -2 4 + 8c = -2 + 6c Solving 4 + 8c = -2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 4 + 8c + -6c = -2 + 6c + -6c Combine like terms: 8c + -6c = 2c 4 + 2c = -2 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + 2c = -2 + 0 4 + 2c = -2 Add '-4' to each side of the equation. 4 + -4 + 2c = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2c = -2 + -4 2c = -2 + -4 Combine like terms: -2 + -4 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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