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Simplifying -8(k + 2) = -28 + -5k Reorder the terms: -8(2 + k) = -28 + -5k (2 * -8 + k * -8) = -28 + -5k (-16 + -8k) = -28 + -5k Solving -16 + -8k = -28 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -16 + -8k + 5k = -28 + -5k + 5k Combine like terms: -8k + 5k = -3k -16 + -3k = -28 + -5k + 5k Combine like terms: -5k + 5k = 0 -16 + -3k = -28 + 0 -16 + -3k = -28 Add '16' to each side of the equation. -16 + 16 + -3k = -28 + 16 Combine like terms: -16 + 16 = 0 0 + -3k = -28 + 16 -3k = -28 + 16 Combine like terms: -28 + 16 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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