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Simplifying 4(5 + -1k) + -4(k + -6) = k + -11k (5 * 4 + -1k * 4) + -4(k + -6) = k + -11k (20 + -4k) + -4(k + -6) = k + -11k Reorder the terms: 20 + -4k + -4(-6 + k) = k + -11k 20 + -4k + (-6 * -4 + k * -4) = k + -11k 20 + -4k + (24 + -4k) = k + -11k Reorder the terms: 20 + 24 + -4k + -4k = k + -11k Combine like terms: 20 + 24 = 44 44 + -4k + -4k = k + -11k Combine like terms: -4k + -4k = -8k 44 + -8k = k + -11k Combine like terms: k + -11k = -10k 44 + -8k = -10k Solving 44 + -8k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 44 + -8k + 10k = -10k + 10k Combine like terms: -8k + 10k = 2k 44 + 2k = -10k + 10k Combine like terms: -10k + 10k = 0 44 + 2k = 0 Add '-44' to each side of the equation. 44 + -44 + 2k = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 2k = 0 + -44 2k = 0 + -44 Combine like terms: 0 + -44 = -44 2k = -44 Divide each side by '2'. k = -22 Simplifying k = -22
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