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Simplifying 5(k + -6) + -1(-4k + -5) = 8k Reorder the terms: 5(-6 + k) + -1(-4k + -5) = 8k (-6 * 5 + k * 5) + -1(-4k + -5) = 8k (-30 + 5k) + -1(-4k + -5) = 8k Reorder the terms: -30 + 5k + -1(-5 + -4k) = 8k -30 + 5k + (-5 * -1 + -4k * -1) = 8k -30 + 5k + (5 + 4k) = 8k Reorder the terms: -30 + 5 + 5k + 4k = 8k Combine like terms: -30 + 5 = -25 -25 + 5k + 4k = 8k Combine like terms: 5k + 4k = 9k -25 + 9k = 8k Solving -25 + 9k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -25 + 9k + -8k = 8k + -8k Combine like terms: 9k + -8k = 1k -25 + 1k = 8k + -8k Combine like terms: 8k + -8k = 0 -25 + 1k = 0 Add '25' to each side of the equation. -25 + 25 + 1k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1k = 0 + 25 1k = 0 + 25 Combine like terms: 0 + 25 = 25 1k = 25 Divide each side by '1'. k = 25 Simplifying k = 25
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