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Simplifying 3(c + 2) + 6(c + -6) = 0 Reorder the terms: 3(2 + c) + 6(c + -6) = 0 (2 * 3 + c * 3) + 6(c + -6) = 0 (6 + 3c) + 6(c + -6) = 0 Reorder the terms: 6 + 3c + 6(-6 + c) = 0 6 + 3c + (-6 * 6 + c * 6) = 0 6 + 3c + (-36 + 6c) = 0 Reorder the terms: 6 + -36 + 3c + 6c = 0 Combine like terms: 6 + -36 = -30 -30 + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c -30 + 9c = 0 Solving -30 + 9c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 9c = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 9c = 0 + 30 9c = 0 + 30 Combine like terms: 0 + 30 = 30 9c = 30 Divide each side by '9'. c = 3.333333333 Simplifying c = 3.333333333
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