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Simplifying 2(5c + 2) + 2c = 3(2c + 3) + 7 Reorder the terms: 2(2 + 5c) + 2c = 3(2c + 3) + 7 (2 * 2 + 5c * 2) + 2c = 3(2c + 3) + 7 (4 + 10c) + 2c = 3(2c + 3) + 7 Combine like terms: 10c + 2c = 12c 4 + 12c = 3(2c + 3) + 7 Reorder the terms: 4 + 12c = 3(3 + 2c) + 7 4 + 12c = (3 * 3 + 2c * 3) + 7 4 + 12c = (9 + 6c) + 7 Reorder the terms: 4 + 12c = 9 + 7 + 6c Combine like terms: 9 + 7 = 16 4 + 12c = 16 + 6c Solving 4 + 12c = 16 + 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 + 12c + -6c = 16 + 6c + -6c Combine like terms: 12c + -6c = 6c 4 + 6c = 16 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + 6c = 16 + 0 4 + 6c = 16 Add '-4' to each side of the equation. 4 + -4 + 6c = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6c = 16 + -4 6c = 16 + -4 Combine like terms: 16 + -4 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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