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Simplifying 9(c + -3) = 2(c + 1) Reorder the terms: 9(-3 + c) = 2(c + 1) (-3 * 9 + c * 9) = 2(c + 1) (-27 + 9c) = 2(c + 1) Reorder the terms: -27 + 9c = 2(1 + c) -27 + 9c = (1 * 2 + c * 2) -27 + 9c = (2 + 2c) Solving -27 + 9c = 2 + 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 + 9c + -2c = 2 + 2c + -2c Combine like terms: 9c + -2c = 7c -27 + 7c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 -27 + 7c = 2 + 0 -27 + 7c = 2 Add '27' to each side of the equation. -27 + 27 + 7c = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 7c = 2 + 27 7c = 2 + 27 Combine like terms: 2 + 27 = 29 7c = 29 Divide each side by '7'. c = 4.142857143 Simplifying c = 4.142857143
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