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Simplifying 46 + 10k = -8(-1k + -7) Reorder the terms: 46 + 10k = -8(-7 + -1k) 46 + 10k = (-7 * -8 + -1k * -8) 46 + 10k = (56 + 8k) Solving 46 + 10k = 56 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 46 + 10k + -8k = 56 + 8k + -8k Combine like terms: 10k + -8k = 2k 46 + 2k = 56 + 8k + -8k Combine like terms: 8k + -8k = 0 46 + 2k = 56 + 0 46 + 2k = 56 Add '-46' to each side of the equation. 46 + -46 + 2k = 56 + -46 Combine like terms: 46 + -46 = 0 0 + 2k = 56 + -46 2k = 56 + -46 Combine like terms: 56 + -46 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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