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Simplifying 48 = 6(3 + -1k) 48 = (3 * 6 + -1k * 6) 48 = (18 + -6k) Solving 48 = 18 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 48 + 6k = 18 + -6k + 6k Combine like terms: -6k + 6k = 0 48 + 6k = 18 + 0 48 + 6k = 18 Add '-48' to each side of the equation. 48 + -48 + 6k = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 6k = 18 + -48 6k = 18 + -48 Combine like terms: 18 + -48 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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