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Simplifying 13(6c + -4) = 17c + 9 Reorder the terms: 13(-4 + 6c) = 17c + 9 (-4 * 13 + 6c * 13) = 17c + 9 (-52 + 78c) = 17c + 9 Reorder the terms: -52 + 78c = 9 + 17c Solving -52 + 78c = 9 + 17c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17c' to each side of the equation. -52 + 78c + -17c = 9 + 17c + -17c Combine like terms: 78c + -17c = 61c -52 + 61c = 9 + 17c + -17c Combine like terms: 17c + -17c = 0 -52 + 61c = 9 + 0 -52 + 61c = 9 Add '52' to each side of the equation. -52 + 52 + 61c = 9 + 52 Combine like terms: -52 + 52 = 0 0 + 61c = 9 + 52 61c = 9 + 52 Combine like terms: 9 + 52 = 61 61c = 61 Divide each side by '61'. c = 1 Simplifying c = 1
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