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Simplifying 6(8 + -1k) = 18 + 4k (8 * 6 + -1k * 6) = 18 + 4k (48 + -6k) = 18 + 4k Solving 48 + -6k = 18 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 48 + -6k + -4k = 18 + 4k + -4k Combine like terms: -6k + -4k = -10k 48 + -10k = 18 + 4k + -4k Combine like terms: 4k + -4k = 0 48 + -10k = 18 + 0 48 + -10k = 18 Add '-48' to each side of the equation. 48 + -48 + -10k = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -10k = 18 + -48 -10k = 18 + -48 Combine like terms: 18 + -48 = -30 -10k = -30 Divide each side by '-10'. k = 3 Simplifying k = 3
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