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Simplifying 8 + -3k = 2k + 8(1 + -6k) 8 + -3k = 2k + (1 * 8 + -6k * 8) 8 + -3k = 2k + (8 + -48k) Reorder the terms: 8 + -3k = 8 + 2k + -48k Combine like terms: 2k + -48k = -46k 8 + -3k = 8 + -46k Add '-8' to each side of the equation. 8 + -8 + -3k = 8 + -8 + -46k Combine like terms: 8 + -8 = 0 0 + -3k = 8 + -8 + -46k -3k = 8 + -8 + -46k Combine like terms: 8 + -8 = 0 -3k = 0 + -46k -3k = -46k Solving -3k = -46k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '46k' to each side of the equation. -3k + 46k = -46k + 46k Combine like terms: -3k + 46k = 43k 43k = -46k + 46k Combine like terms: -46k + 46k = 0 43k = 0 Divide each side by '43'. k = 0 Simplifying k = 0
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