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Simplifying 180 = (5k + -3) + (9 + k) Reorder the terms: 180 = (-3 + 5k) + (9 + k) Remove parenthesis around (-3 + 5k) 180 = -3 + 5k + (9 + k) Remove parenthesis around (9 + k) 180 = -3 + 5k + 9 + k Reorder the terms: 180 = -3 + 9 + 5k + k Combine like terms: -3 + 9 = 6 180 = 6 + 5k + k Combine like terms: 5k + k = 6k 180 = 6 + 6k Solving 180 = 6 + 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. 180 + -6k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 180 + -6k = 6 + 0 180 + -6k = 6 Add '-180' to each side of the equation. 180 + -180 + -6k = 6 + -180 Combine like terms: 180 + -180 = 0 0 + -6k = 6 + -180 -6k = 6 + -180 Combine like terms: 6 + -180 = -174 -6k = -174 Divide each side by '-6'. k = 29 Simplifying k = 29
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