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Simplifying -4(5 + k) = -1(k + -1) (5 * -4 + k * -4) = -1(k + -1) (-20 + -4k) = -1(k + -1) Reorder the terms: -20 + -4k = -1(-1 + k) -20 + -4k = (-1 * -1 + k * -1) -20 + -4k = (1 + -1k) Solving -20 + -4k = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -20 + -4k + k = 1 + -1k + k Combine like terms: -4k + k = -3k -20 + -3k = 1 + -1k + k Combine like terms: -1k + k = 0 -20 + -3k = 1 + 0 -20 + -3k = 1 Add '20' to each side of the equation. -20 + 20 + -3k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + -3k = 1 + 20 -3k = 1 + 20 Combine like terms: 1 + 20 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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