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Simplifying 8(k + -5) + -1(-4k + -6) = 11k Reorder the terms: 8(-5 + k) + -1(-4k + -6) = 11k (-5 * 8 + k * 8) + -1(-4k + -6) = 11k (-40 + 8k) + -1(-4k + -6) = 11k Reorder the terms: -40 + 8k + -1(-6 + -4k) = 11k -40 + 8k + (-6 * -1 + -4k * -1) = 11k -40 + 8k + (6 + 4k) = 11k Reorder the terms: -40 + 6 + 8k + 4k = 11k Combine like terms: -40 + 6 = -34 -34 + 8k + 4k = 11k Combine like terms: 8k + 4k = 12k -34 + 12k = 11k Solving -34 + 12k = 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. -34 + 12k + -11k = 11k + -11k Combine like terms: 12k + -11k = 1k -34 + 1k = 11k + -11k Combine like terms: 11k + -11k = 0 -34 + 1k = 0 Add '34' to each side of the equation. -34 + 34 + 1k = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1k = 0 + 34 1k = 0 + 34 Combine like terms: 0 + 34 = 34 1k = 34 Divide each side by '1'. k = 34 Simplifying k = 34
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