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Simplifying 13(9c + -5) = 2c + -9 Reorder the terms: 13(-5 + 9c) = 2c + -9 (-5 * 13 + 9c * 13) = 2c + -9 (-65 + 117c) = 2c + -9 Reorder the terms: -65 + 117c = -9 + 2c Solving -65 + 117c = -9 + 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. -65 + 117c + -2c = -9 + 2c + -2c Combine like terms: 117c + -2c = 115c -65 + 115c = -9 + 2c + -2c Combine like terms: 2c + -2c = 0 -65 + 115c = -9 + 0 -65 + 115c = -9 Add '65' to each side of the equation. -65 + 65 + 115c = -9 + 65 Combine like terms: -65 + 65 = 0 0 + 115c = -9 + 65 115c = -9 + 65 Combine like terms: -9 + 65 = 56 115c = 56 Divide each side by '115'. c = 0.4869565217 Simplifying c = 0.4869565217
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