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Simplifying 73 = -6(6k + -7) + 6(k + 5) Reorder the terms: 73 = -6(-7 + 6k) + 6(k + 5) 73 = (-7 * -6 + 6k * -6) + 6(k + 5) 73 = (42 + -36k) + 6(k + 5) Reorder the terms: 73 = 42 + -36k + 6(5 + k) 73 = 42 + -36k + (5 * 6 + k * 6) 73 = 42 + -36k + (30 + 6k) Reorder the terms: 73 = 42 + 30 + -36k + 6k Combine like terms: 42 + 30 = 72 73 = 72 + -36k + 6k Combine like terms: -36k + 6k = -30k 73 = 72 + -30k Solving 73 = 72 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 73 + 30k = 72 + -30k + 30k Combine like terms: -30k + 30k = 0 73 + 30k = 72 + 0 73 + 30k = 72 Add '-73' to each side of the equation. 73 + -73 + 30k = 72 + -73 Combine like terms: 73 + -73 = 0 0 + 30k = 72 + -73 30k = 72 + -73 Combine like terms: 72 + -73 = -1 30k = -1 Divide each side by '30'. k = -0.03333333333 Simplifying k = -0.03333333333
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