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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 = 36 -6k = 36 Divide each side by '-6'. k = -6 Simplifying k = -6
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