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Simplifying 48 = 6(k + 5) Reorder the terms: 48 = 6(5 + k) 48 = (5 * 6 + k * 6) 48 = (30 + 6k) Solving 48 = 30 + 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 = 30 + 6k + -6k Combine like terms: 6k + -6k = 0 48 + -6k = 30 + 0 48 + -6k = 30 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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