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