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Simplifying 5(k + -6) = 2 + -1k Reorder the terms: 5(-6 + k) = 2 + -1k (-6 * 5 + k * 5) = 2 + -1k (-30 + 5k) = 2 + -1k Solving -30 + 5k = 2 + -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. -30 + 5k + k = 2 + -1k + k Combine like terms: 5k + k = 6k -30 + 6k = 2 + -1k + k Combine like terms: -1k + k = 0 -30 + 6k = 2 + 0 -30 + 6k = 2 Add '30' to each side of the equation. -30 + 30 + 6k = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 6k = 2 + 30 6k = 2 + 30 Combine like terms: 2 + 30 = 32 6k = 32 Divide each side by '6'. k = 5.333333333 Simplifying k = 5.333333333
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