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Simplifying 8 + -8k = 2(4 + -5k) 8 + -8k = (4 * 2 + -5k * 2) 8 + -8k = (8 + -10k) Add '-8' to each side of the equation. 8 + -8 + -8k = 8 + -8 + -10k Combine like terms: 8 + -8 = 0 0 + -8k = 8 + -8 + -10k -8k = 8 + -8 + -10k Combine like terms: 8 + -8 = 0 -8k = 0 + -10k -8k = -10k Solving -8k = -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. -8k + 10k = -10k + 10k Combine like terms: -8k + 10k = 2k 2k = -10k + 10k Combine like terms: -10k + 10k = 0 2k = 0 Divide each side by '2'. k = 0 Simplifying k = 0
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