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Simplifying 5(k + -2) = k + 2 Reorder the terms: 5(-2 + k) = k + 2 (-2 * 5 + k * 5) = k + 2 (-10 + 5k) = k + 2 Reorder the terms: -10 + 5k = 2 + k Solving -10 + 5k = 2 + 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. -10 + 5k + -1k = 2 + k + -1k Combine like terms: 5k + -1k = 4k -10 + 4k = 2 + k + -1k Combine like terms: k + -1k = 0 -10 + 4k = 2 + 0 -10 + 4k = 2 Add '10' to each side of the equation. -10 + 10 + 4k = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 4k = 2 + 10 4k = 2 + 10 Combine like terms: 2 + 10 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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