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Simplifying 13(6c + -5) = 8c + -3 Reorder the terms: 13(-5 + 6c) = 8c + -3 (-5 * 13 + 6c * 13) = 8c + -3 (-65 + 78c) = 8c + -3 Reorder the terms: -65 + 78c = -3 + 8c Solving -65 + 78c = -3 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -65 + 78c + -8c = -3 + 8c + -8c Combine like terms: 78c + -8c = 70c -65 + 70c = -3 + 8c + -8c Combine like terms: 8c + -8c = 0 -65 + 70c = -3 + 0 -65 + 70c = -3 Add '65' to each side of the equation. -65 + 65 + 70c = -3 + 65 Combine like terms: -65 + 65 = 0 0 + 70c = -3 + 65 70c = -3 + 65 Combine like terms: -3 + 65 = 62 70c = 62 Divide each side by '70'. c = 0.8857142857 Simplifying c = 0.8857142857
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