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Simplifying -4(k + 4) + -1(-5k + 2) = 6 Reorder the terms: -4(4 + k) + -1(-5k + 2) = 6 (4 * -4 + k * -4) + -1(-5k + 2) = 6 (-16 + -4k) + -1(-5k + 2) = 6 Reorder the terms: -16 + -4k + -1(2 + -5k) = 6 -16 + -4k + (2 * -1 + -5k * -1) = 6 -16 + -4k + (-2 + 5k) = 6 Reorder the terms: -16 + -2 + -4k + 5k = 6 Combine like terms: -16 + -2 = -18 -18 + -4k + 5k = 6 Combine like terms: -4k + 5k = 1k -18 + 1k = 6 Solving -18 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1k = 6 + 18 1k = 6 + 18 Combine like terms: 6 + 18 = 24 1k = 24 Divide each side by '1'. k = 24 Simplifying k = 24
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