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Simplifying 2(5c + 2) + -2c = 3(2c + 3) + 7c Reorder the terms: 2(2 + 5c) + -2c = 3(2c + 3) + 7c (2 * 2 + 5c * 2) + -2c = 3(2c + 3) + 7c (4 + 10c) + -2c = 3(2c + 3) + 7c Combine like terms: 10c + -2c = 8c 4 + 8c = 3(2c + 3) + 7c Reorder the terms: 4 + 8c = 3(3 + 2c) + 7c 4 + 8c = (3 * 3 + 2c * 3) + 7c 4 + 8c = (9 + 6c) + 7c Combine like terms: 6c + 7c = 13c 4 + 8c = 9 + 13c Solving 4 + 8c = 9 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 4 + 8c + -13c = 9 + 13c + -13c Combine like terms: 8c + -13c = -5c 4 + -5c = 9 + 13c + -13c Combine like terms: 13c + -13c = 0 4 + -5c = 9 + 0 4 + -5c = 9 Add '-4' to each side of the equation. 4 + -4 + -5c = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = 9 + -4 -5c = 9 + -4 Combine like terms: 9 + -4 = 5 -5c = 5 Divide each side by '-5'. c = -1 Simplifying c = -1
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