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Simplifying 3(c + -9) = 2(9 + c) Reorder the terms: 3(-9 + c) = 2(9 + c) (-9 * 3 + c * 3) = 2(9 + c) (-27 + 3c) = 2(9 + c) -27 + 3c = (9 * 2 + c * 2) -27 + 3c = (18 + 2c) Solving -27 + 3c = 18 + 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. -27 + 3c + -2c = 18 + 2c + -2c Combine like terms: 3c + -2c = 1c -27 + 1c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 -27 + 1c = 18 + 0 -27 + 1c = 18 Add '27' to each side of the equation. -27 + 27 + 1c = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 1c = 18 + 27 1c = 18 + 27 Combine like terms: 18 + 27 = 45 1c = 45 Divide each side by '1'. c = 45 Simplifying c = 45
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