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Simplifying 4(k + -4) + 8 = -1(5 + -1k) Reorder the terms: 4(-4 + k) + 8 = -1(5 + -1k) (-4 * 4 + k * 4) + 8 = -1(5 + -1k) (-16 + 4k) + 8 = -1(5 + -1k) Reorder the terms: -16 + 8 + 4k = -1(5 + -1k) Combine like terms: -16 + 8 = -8 -8 + 4k = -1(5 + -1k) -8 + 4k = (5 * -1 + -1k * -1) -8 + 4k = (-5 + 1k) Solving -8 + 4k = -5 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -8 + 4k + -1k = -5 + 1k + -1k Combine like terms: 4k + -1k = 3k -8 + 3k = -5 + 1k + -1k Combine like terms: 1k + -1k = 0 -8 + 3k = -5 + 0 -8 + 3k = -5 Add '8' to each side of the equation. -8 + 8 + 3k = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = -5 + 8 3k = -5 + 8 Combine like terms: -5 + 8 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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