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