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Simplifying 7(3c + 6) + -3(-2c + 2) + -5c = 14 Reorder the terms: 7(6 + 3c) + -3(-2c + 2) + -5c = 14 (6 * 7 + 3c * 7) + -3(-2c + 2) + -5c = 14 (42 + 21c) + -3(-2c + 2) + -5c = 14 Reorder the terms: 42 + 21c + -3(2 + -2c) + -5c = 14 42 + 21c + (2 * -3 + -2c * -3) + -5c = 14 42 + 21c + (-6 + 6c) + -5c = 14 Reorder the terms: 42 + -6 + 21c + 6c + -5c = 14 Combine like terms: 42 + -6 = 36 36 + 21c + 6c + -5c = 14 Combine like terms: 21c + 6c = 27c 36 + 27c + -5c = 14 Combine like terms: 27c + -5c = 22c 36 + 22c = 14 Solving 36 + 22c = 14 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 22c = 14 + -36 Combine like terms: 36 + -36 = 0 0 + 22c = 14 + -36 22c = 14 + -36 Combine like terms: 14 + -36 = -22 22c = -22 Divide each side by '22'. c = -1 Simplifying c = -1
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