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Simplifying 5 + 6(k + 7) = 85 Reorder the terms: 5 + 6(7 + k) = 85 5 + (7 * 6 + k * 6) = 85 5 + (42 + 6k) = 85 Combine like terms: 5 + 42 = 47 47 + 6k = 85 Solving 47 + 6k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 6k = 85 + -47 Combine like terms: 47 + -47 = 0 0 + 6k = 85 + -47 6k = 85 + -47 Combine like terms: 85 + -47 = 38 6k = 38 Divide each side by '6'. k = 6.333333333 Simplifying k = 6.333333333
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