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Simplifying -6(k + 2) + -1(4k + -8) = -11k Reorder the terms: -6(2 + k) + -1(4k + -8) = -11k (2 * -6 + k * -6) + -1(4k + -8) = -11k (-12 + -6k) + -1(4k + -8) = -11k Reorder the terms: -12 + -6k + -1(-8 + 4k) = -11k -12 + -6k + (-8 * -1 + 4k * -1) = -11k -12 + -6k + (8 + -4k) = -11k Reorder the terms: -12 + 8 + -6k + -4k = -11k Combine like terms: -12 + 8 = -4 -4 + -6k + -4k = -11k Combine like terms: -6k + -4k = -10k -4 + -10k = -11k Solving -4 + -10k = -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -4 + -10k + 11k = -11k + 11k Combine like terms: -10k + 11k = 1k -4 + 1k = -11k + 11k Combine like terms: -11k + 11k = 0 -4 + 1k = 0 Add '4' to each side of the equation. -4 + 4 + 1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1k = 0 + 4 1k = 0 + 4 Combine like terms: 0 + 4 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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