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Simplifying 13(3c + -6) = 9c + -5 Reorder the terms: 13(-6 + 3c) = 9c + -5 (-6 * 13 + 3c * 13) = 9c + -5 (-78 + 39c) = 9c + -5 Reorder the terms: -78 + 39c = -5 + 9c Solving -78 + 39c = -5 + 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. -78 + 39c + -9c = -5 + 9c + -9c Combine like terms: 39c + -9c = 30c -78 + 30c = -5 + 9c + -9c Combine like terms: 9c + -9c = 0 -78 + 30c = -5 + 0 -78 + 30c = -5 Add '78' to each side of the equation. -78 + 78 + 30c = -5 + 78 Combine like terms: -78 + 78 = 0 0 + 30c = -5 + 78 30c = -5 + 78 Combine like terms: -5 + 78 = 73 30c = 73 Divide each side by '30'. c = 2.433333333 Simplifying c = 2.433333333
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