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Simplifying 5(k + -1) + -4k = -5 + 8 Reorder the terms: 5(-1 + k) + -4k = -5 + 8 (-1 * 5 + k * 5) + -4k = -5 + 8 (-5 + 5k) + -4k = -5 + 8 Combine like terms: 5k + -4k = 1k -5 + 1k = -5 + 8 Combine like terms: -5 + 8 = 3 -5 + 1k = 3 Solving -5 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1k = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = 3 + 5 1k = 3 + 5 Combine like terms: 3 + 5 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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