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Simplifying -5k + 3(k + 8) = 16 Reorder the terms: -5k + 3(8 + k) = 16 -5k + (8 * 3 + k * 3) = 16 -5k + (24 + 3k) = 16 Reorder the terms: 24 + -5k + 3k = 16 Combine like terms: -5k + 3k = -2k 24 + -2k = 16 Solving 24 + -2k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2k = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -2k = 16 + -24 -2k = 16 + -24 Combine like terms: 16 + -24 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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