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Simplifying 3(k + 5) + -1(-2k + -6) = 4k Reorder the terms: 3(5 + k) + -1(-2k + -6) = 4k (5 * 3 + k * 3) + -1(-2k + -6) = 4k (15 + 3k) + -1(-2k + -6) = 4k Reorder the terms: 15 + 3k + -1(-6 + -2k) = 4k 15 + 3k + (-6 * -1 + -2k * -1) = 4k 15 + 3k + (6 + 2k) = 4k Reorder the terms: 15 + 6 + 3k + 2k = 4k Combine like terms: 15 + 6 = 21 21 + 3k + 2k = 4k Combine like terms: 3k + 2k = 5k 21 + 5k = 4k Solving 21 + 5k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 21 + 5k + -4k = 4k + -4k Combine like terms: 5k + -4k = 1k 21 + 1k = 4k + -4k Combine like terms: 4k + -4k = 0 21 + 1k = 0 Add '-21' to each side of the equation. 21 + -21 + 1k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 1k = 0 + -21 1k = 0 + -21 Combine like terms: 0 + -21 = -21 1k = -21 Divide each side by '1'. k = -21 Simplifying k = -21
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