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Simplifying 5(k + -1) = -1k + 13 Reorder the terms: 5(-1 + k) = -1k + 13 (-1 * 5 + k * 5) = -1k + 13 (-5 + 5k) = -1k + 13 Reorder the terms: -5 + 5k = 13 + -1k Solving -5 + 5k = 13 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -5 + 5k + k = 13 + -1k + k Combine like terms: 5k + k = 6k -5 + 6k = 13 + -1k + k Combine like terms: -1k + k = 0 -5 + 6k = 13 + 0 -5 + 6k = 13 Add '5' to each side of the equation. -5 + 5 + 6k = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 13 + 5 6k = 13 + 5 Combine like terms: 13 + 5 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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