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Simplifying 7k + -82(k + 12) = 52 Reorder the terms: 7k + -82(12 + k) = 52 7k + (12 * -82 + k * -82) = 52 7k + (-984 + -82k) = 52 Reorder the terms: -984 + 7k + -82k = 52 Combine like terms: 7k + -82k = -75k -984 + -75k = 52 Solving -984 + -75k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '984' to each side of the equation. -984 + 984 + -75k = 52 + 984 Combine like terms: -984 + 984 = 0 0 + -75k = 52 + 984 -75k = 52 + 984 Combine like terms: 52 + 984 = 1036 -75k = 1036 Divide each side by '-75'. k = -13.81333333 Simplifying k = -13.81333333
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