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Simplifying -1(4k + -1) + 5 = -1(3k + 6) + 2 Reorder the terms: -1(-1 + 4k) + 5 = -1(3k + 6) + 2 (-1 * -1 + 4k * -1) + 5 = -1(3k + 6) + 2 (1 + -4k) + 5 = -1(3k + 6) + 2 Reorder the terms: 1 + 5 + -4k = -1(3k + 6) + 2 Combine like terms: 1 + 5 = 6 6 + -4k = -1(3k + 6) + 2 Reorder the terms: 6 + -4k = -1(6 + 3k) + 2 6 + -4k = (6 * -1 + 3k * -1) + 2 6 + -4k = (-6 + -3k) + 2 Reorder the terms: 6 + -4k = -6 + 2 + -3k Combine like terms: -6 + 2 = -4 6 + -4k = -4 + -3k Solving 6 + -4k = -4 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 6 + -4k + 3k = -4 + -3k + 3k Combine like terms: -4k + 3k = -1k 6 + -1k = -4 + -3k + 3k Combine like terms: -3k + 3k = 0 6 + -1k = -4 + 0 6 + -1k = -4 Add '-6' to each side of the equation. 6 + -6 + -1k = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = -4 + -6 -1k = -4 + -6 Combine like terms: -4 + -6 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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