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Simplifying 73 = -60(k + -7) + 6(k + 5) Reorder the terms: 73 = -60(-7 + k) + 6(k + 5) 73 = (-7 * -60 + k * -60) + 6(k + 5) 73 = (420 + -60k) + 6(k + 5) Reorder the terms: 73 = 420 + -60k + 6(5 + k) 73 = 420 + -60k + (5 * 6 + k * 6) 73 = 420 + -60k + (30 + 6k) Reorder the terms: 73 = 420 + 30 + -60k + 6k Combine like terms: 420 + 30 = 450 73 = 450 + -60k + 6k Combine like terms: -60k + 6k = -54k 73 = 450 + -54k Solving 73 = 450 + -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. 73 + 54k = 450 + -54k + 54k Combine like terms: -54k + 54k = 0 73 + 54k = 450 + 0 73 + 54k = 450 Add '-73' to each side of the equation. 73 + -73 + 54k = 450 + -73 Combine like terms: 73 + -73 = 0 0 + 54k = 450 + -73 54k = 450 + -73 Combine like terms: 450 + -73 = 377 54k = 377 Divide each side by '54'. k = 6.981481481 Simplifying k = 6.981481481
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