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Simplifying 4(8 + -1k) = 2k + 16 (8 * 4 + -1k * 4) = 2k + 16 (32 + -4k) = 2k + 16 Reorder the terms: 32 + -4k = 16 + 2k Solving 32 + -4k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 32 + -4k + -2k = 16 + 2k + -2k Combine like terms: -4k + -2k = -6k 32 + -6k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 32 + -6k = 16 + 0 32 + -6k = 16 Add '-32' to each side of the equation. 32 + -32 + -6k = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -6k = 16 + -32 -6k = 16 + -32 Combine like terms: 16 + -32 = -16 -6k = -16 Divide each side by '-6'. k = 2.666666667 Simplifying k = 2.666666667
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