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Simplifying 4(k + -1) + -1(8k + -6) = -5k Reorder the terms: 4(-1 + k) + -1(8k + -6) = -5k (-1 * 4 + k * 4) + -1(8k + -6) = -5k (-4 + 4k) + -1(8k + -6) = -5k Reorder the terms: -4 + 4k + -1(-6 + 8k) = -5k -4 + 4k + (-6 * -1 + 8k * -1) = -5k -4 + 4k + (6 + -8k) = -5k Reorder the terms: -4 + 6 + 4k + -8k = -5k Combine like terms: -4 + 6 = 2 2 + 4k + -8k = -5k Combine like terms: 4k + -8k = -4k 2 + -4k = -5k Solving 2 + -4k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2 + -4k + 5k = -5k + 5k Combine like terms: -4k + 5k = 1k 2 + 1k = -5k + 5k Combine like terms: -5k + 5k = 0 2 + 1k = 0 Add '-2' to each side of the equation. 2 + -2 + 1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 0 + -2 1k = 0 + -2 Combine like terms: 0 + -2 = -2 1k = -2 Divide each side by '1'. k = -2 Simplifying k = -2
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