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Simplifying 3(k + -1) = 2k + 13 Reorder the terms: 3(-1 + k) = 2k + 13 (-1 * 3 + k * 3) = 2k + 13 (-3 + 3k) = 2k + 13 Reorder the terms: -3 + 3k = 13 + 2k Solving -3 + 3k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + 3k + -2k = 13 + 2k + -2k Combine like terms: 3k + -2k = 1k -3 + 1k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 1k = 13 + 0 -3 + 1k = 13 Add '3' to each side of the equation. -3 + 3 + 1k = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = 13 + 3 1k = 13 + 3 Combine like terms: 13 + 3 = 16 1k = 16 Divide each side by '1'. k = 16 Simplifying k = 16
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