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Simplifying -4(k + -5) + 3 = 27 Reorder the terms: -4(-5 + k) + 3 = 27 (-5 * -4 + k * -4) + 3 = 27 (20 + -4k) + 3 = 27 Reorder the terms: 20 + 3 + -4k = 27 Combine like terms: 20 + 3 = 23 23 + -4k = 27 Solving 23 + -4k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4k = 27 + -23 Combine like terms: 23 + -23 = 0 0 + -4k = 27 + -23 -4k = 27 + -23 Combine like terms: 27 + -23 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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