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Simplifying 2(5c + 2) + -2 = 3(2c + 3) Reorder the terms: 2(2 + 5c) + -2 = 3(2c + 3) (2 * 2 + 5c * 2) + -2 = 3(2c + 3) (4 + 10c) + -2 = 3(2c + 3) Reorder the terms: 4 + -2 + 10c = 3(2c + 3) Combine like terms: 4 + -2 = 2 2 + 10c = 3(2c + 3) Reorder the terms: 2 + 10c = 3(3 + 2c) 2 + 10c = (3 * 3 + 2c * 3) 2 + 10c = (9 + 6c) Solving 2 + 10c = 9 + 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. 2 + 10c + -6c = 9 + 6c + -6c Combine like terms: 10c + -6c = 4c 2 + 4c = 9 + 6c + -6c Combine like terms: 6c + -6c = 0 2 + 4c = 9 + 0 2 + 4c = 9 Add '-2' to each side of the equation. 2 + -2 + 4c = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 4c = 9 + -2 4c = 9 + -2 Combine like terms: 9 + -2 = 7 4c = 7 Divide each side by '4'. c = 1.75 Simplifying c = 1.75
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