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Simplifying 28 + -5k = -1(k + 4) Reorder the terms: 28 + -5k = -1(4 + k) 28 + -5k = (4 * -1 + k * -1) 28 + -5k = (-4 + -1k) Solving 28 + -5k = -4 + -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. 28 + -5k + k = -4 + -1k + k Combine like terms: -5k + k = -4k 28 + -4k = -4 + -1k + k Combine like terms: -1k + k = 0 28 + -4k = -4 + 0 28 + -4k = -4 Add '-28' to each side of the equation. 28 + -28 + -4k = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -4k = -4 + -28 -4k = -4 + -28 Combine like terms: -4 + -28 = -32 -4k = -32 Divide each side by '-4'. k = 8 Simplifying k = 8
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