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Simplifying -1(-3k + 1) + 6 = 3 + -1k Reorder the terms: -1(1 + -3k) + 6 = 3 + -1k (1 * -1 + -3k * -1) + 6 = 3 + -1k (-1 + 3k) + 6 = 3 + -1k Reorder the terms: -1 + 6 + 3k = 3 + -1k Combine like terms: -1 + 6 = 5 5 + 3k = 3 + -1k Solving 5 + 3k = 3 + -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 + 3k + k = 3 + -1k + k Combine like terms: 3k + k = 4k 5 + 4k = 3 + -1k + k Combine like terms: -1k + k = 0 5 + 4k = 3 + 0 5 + 4k = 3 Add '-5' to each side of the equation. 5 + -5 + 4k = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 3 + -5 4k = 3 + -5 Combine like terms: 3 + -5 = -2 4k = -2 Divide each side by '4'. k = -0.5 Simplifying k = -0.5
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