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Simplifying 4 + -9c + 3(c + 2) = 0 Reorder the terms: 4 + -9c + 3(2 + c) = 0 4 + -9c + (2 * 3 + c * 3) = 0 4 + -9c + (6 + 3c) = 0 Reorder the terms: 4 + 6 + -9c + 3c = 0 Combine like terms: 4 + 6 = 10 10 + -9c + 3c = 0 Combine like terms: -9c + 3c = -6c 10 + -6c = 0 Solving 10 + -6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6c = 0 + -10 -6c = 0 + -10 Combine like terms: 0 + -10 = -10 -6c = -10 Divide each side by '-6'. c = 1.666666667 Simplifying c = 1.666666667
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