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Simplifying (5k + -3) + (9 + k) = 180 Reorder the terms: (-3 + 5k) + (9 + k) = 180 Remove parenthesis around (-3 + 5k) -3 + 5k + (9 + k) = 180 Remove parenthesis around (9 + k) -3 + 5k + 9 + k = 180 Reorder the terms: -3 + 9 + 5k + k = 180 Combine like terms: -3 + 9 = 6 6 + 5k + k = 180 Combine like terms: 5k + k = 6k 6 + 6k = 180 Solving 6 + 6k = 180 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6k = 180 + -6 Combine like terms: 6 + -6 = 0 0 + 6k = 180 + -6 6k = 180 + -6 Combine like terms: 180 + -6 = 174 6k = 174 Divide each side by '6'. k = 29 Simplifying k = 29
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