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Simplifying 2(k + -1) = k + 5 Reorder the terms: 2(-1 + k) = k + 5 (-1 * 2 + k * 2) = k + 5 (-2 + 2k) = k + 5 Reorder the terms: -2 + 2k = 5 + k Solving -2 + 2k = 5 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -2 + 2k + -1k = 5 + k + -1k Combine like terms: 2k + -1k = 1k -2 + 1k = 5 + k + -1k Combine like terms: k + -1k = 0 -2 + 1k = 5 + 0 -2 + 1k = 5 Add '2' to each side of the equation. -2 + 2 + 1k = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 5 + 2 1k = 5 + 2 Combine like terms: 5 + 2 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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