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Simplifying 3(9 + c) = 2(c + -9) (9 * 3 + c * 3) = 2(c + -9) (27 + 3c) = 2(c + -9) Reorder the terms: 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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