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Simplifying 8(k + 5) + -1(4 + 6k) = k Reorder the terms: 8(5 + k) + -1(4 + 6k) = k (5 * 8 + k * 8) + -1(4 + 6k) = k (40 + 8k) + -1(4 + 6k) = k 40 + 8k + (4 * -1 + 6k * -1) = k 40 + 8k + (-4 + -6k) = k Reorder the terms: 40 + -4 + 8k + -6k = k Combine like terms: 40 + -4 = 36 36 + 8k + -6k = k Combine like terms: 8k + -6k = 2k 36 + 2k = k Solving 36 + 2k = 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. 36 + 2k + -1k = k + -1k Combine like terms: 2k + -1k = 1k 36 + 1k = k + -1k Combine like terms: k + -1k = 0 36 + 1k = 0 Add '-36' to each side of the equation. 36 + -36 + 1k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1k = 0 + -36 1k = 0 + -36 Combine like terms: 0 + -36 = -36 1k = -36 Divide each side by '1'. k = -36 Simplifying k = -36
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