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Simplifying 2(5c + 2) + -2c = (2c + 3) + 7 Reorder the terms: 2(2 + 5c) + -2c = (2c + 3) + 7 (2 * 2 + 5c * 2) + -2c = (2c + 3) + 7 (4 + 10c) + -2c = (2c + 3) + 7 Combine like terms: 10c + -2c = 8c 4 + 8c = (2c + 3) + 7 Reorder the terms: 4 + 8c = (3 + 2c) + 7 Remove parenthesis around (3 + 2c) 4 + 8c = 3 + 2c + 7 Reorder the terms: 4 + 8c = 3 + 7 + 2c Combine like terms: 3 + 7 = 10 4 + 8c = 10 + 2c Solving 4 + 8c = 10 + 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. 4 + 8c + -2c = 10 + 2c + -2c Combine like terms: 8c + -2c = 6c 4 + 6c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 4 + 6c = 10 + 0 4 + 6c = 10 Add '-4' to each side of the equation. 4 + -4 + 6c = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 6c = 10 + -4 6c = 10 + -4 Combine like terms: 10 + -4 = 6 6c = 6 Divide each side by '6'. c = 1 Simplifying c = 1
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