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Simplifying 2(4k + -1) + -4(k + -5) = 0 Reorder the terms: 2(-1 + 4k) + -4(k + -5) = 0 (-1 * 2 + 4k * 2) + -4(k + -5) = 0 (-2 + 8k) + -4(k + -5) = 0 Reorder the terms: -2 + 8k + -4(-5 + k) = 0 -2 + 8k + (-5 * -4 + k * -4) = 0 -2 + 8k + (20 + -4k) = 0 Reorder the terms: -2 + 20 + 8k + -4k = 0 Combine like terms: -2 + 20 = 18 18 + 8k + -4k = 0 Combine like terms: 8k + -4k = 4k 18 + 4k = 0 Solving 18 + 4k = 0 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 + 4k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4k = 0 + -18 4k = 0 + -18 Combine like terms: 0 + -18 = -18 4k = -18 Divide each side by '4'. k = -4.5 Simplifying k = -4.5
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