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Simplifying 16 + 4k = 10(k + 2) Reorder the terms: 16 + 4k = 10(2 + k) 16 + 4k = (2 * 10 + k * 10) 16 + 4k = (20 + 10k) Solving 16 + 4k = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 16 + 4k + -10k = 20 + 10k + -10k Combine like terms: 4k + -10k = -6k 16 + -6k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 16 + -6k = 20 + 0 16 + -6k = 20 Add '-16' to each side of the equation. 16 + -16 + -6k = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -6k = 20 + -16 -6k = 20 + -16 Combine like terms: 20 + -16 = 4 -6k = 4 Divide each side by '-6'. k = -0.6666666667 Simplifying k = -0.6666666667
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