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Simplifying 13(3c + -9) = 9c + -6 Reorder the terms: 13(-9 + 3c) = 9c + -6 (-9 * 13 + 3c * 13) = 9c + -6 (-117 + 39c) = 9c + -6 Reorder the terms: -117 + 39c = -6 + 9c Solving -117 + 39c = -6 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -117 + 39c + -9c = -6 + 9c + -9c Combine like terms: 39c + -9c = 30c -117 + 30c = -6 + 9c + -9c Combine like terms: 9c + -9c = 0 -117 + 30c = -6 + 0 -117 + 30c = -6 Add '117' to each side of the equation. -117 + 117 + 30c = -6 + 117 Combine like terms: -117 + 117 = 0 0 + 30c = -6 + 117 30c = -6 + 117 Combine like terms: -6 + 117 = 111 30c = 111 Divide each side by '30'. c = 3.7 Simplifying c = 3.7
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