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Simplifying k + -40 + 3k + 10 + 2k + 20 = 180 Reorder the terms: -40 + 10 + 20 + k + 3k + 2k = 180 Combine like terms: -40 + 10 = -30 -30 + 20 + k + 3k + 2k = 180 Combine like terms: -30 + 20 = -10 -10 + k + 3k + 2k = 180 Combine like terms: k + 3k = 4k -10 + 4k + 2k = 180 Combine like terms: 4k + 2k = 6k -10 + 6k = 180 Solving -10 + 6k = 180 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6k = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 6k = 180 + 10 6k = 180 + 10 Combine like terms: 180 + 10 = 190 6k = 190 Divide each side by '6'. k = 31.66666667 Simplifying k = 31.66666667
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