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Simplifying 8(10 + -1k) = 2 + -2k (10 * 8 + -1k * 8) = 2 + -2k (80 + -8k) = 2 + -2k Solving 80 + -8k = 2 + -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. 80 + -8k + 2k = 2 + -2k + 2k Combine like terms: -8k + 2k = -6k 80 + -6k = 2 + -2k + 2k Combine like terms: -2k + 2k = 0 80 + -6k = 2 + 0 80 + -6k = 2 Add '-80' to each side of the equation. 80 + -80 + -6k = 2 + -80 Combine like terms: 80 + -80 = 0 0 + -6k = 2 + -80 -6k = 2 + -80 Combine like terms: 2 + -80 = -78 -6k = -78 Divide each side by '-6'. k = 13 Simplifying k = 13
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