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Simplifying 73 = -1(k + -7) + 6(k + 5) Reorder the terms: 73 = -1(-7 + k) + 6(k + 5) 73 = (-7 * -1 + k * -1) + 6(k + 5) 73 = (7 + -1k) + 6(k + 5) Reorder the terms: 73 = 7 + -1k + 6(5 + k) 73 = 7 + -1k + (5 * 6 + k * 6) 73 = 7 + -1k + (30 + 6k) Reorder the terms: 73 = 7 + 30 + -1k + 6k Combine like terms: 7 + 30 = 37 73 = 37 + -1k + 6k Combine like terms: -1k + 6k = 5k 73 = 37 + 5k Solving 73 = 37 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 73 + -5k = 37 + 5k + -5k Combine like terms: 5k + -5k = 0 73 + -5k = 37 + 0 73 + -5k = 37 Add '-73' to each side of the equation. 73 + -73 + -5k = 37 + -73 Combine like terms: 73 + -73 = 0 0 + -5k = 37 + -73 -5k = 37 + -73 Combine like terms: 37 + -73 = -36 -5k = -36 Divide each side by '-5'. k = 7.2 Simplifying k = 7.2
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