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