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Simplifying 73 = 6(k + -7) + 6(k + 5) Reorder the terms: 73 = 6(-7 + k) + 6(k + 5) 73 = (-7 * 6 + k * 6) + 6(k + 5) 73 = (-42 + 6k) + 6(k + 5) Reorder the terms: 73 = -42 + 6k + 6(5 + k) 73 = -42 + 6k + (5 * 6 + k * 6) 73 = -42 + 6k + (30 + 6k) Reorder the terms: 73 = -42 + 30 + 6k + 6k Combine like terms: -42 + 30 = -12 73 = -12 + 6k + 6k Combine like terms: 6k + 6k = 12k 73 = -12 + 12k Solving 73 = -12 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 73 + -12k = -12 + 12k + -12k Combine like terms: 12k + -12k = 0 73 + -12k = -12 + 0 73 + -12k = -12 Add '-73' to each side of the equation. 73 + -73 + -12k = -12 + -73 Combine like terms: 73 + -73 = 0 0 + -12k = -12 + -73 -12k = -12 + -73 Combine like terms: -12 + -73 = -85 -12k = -85 Divide each side by '-12'. k = 7.083333333 Simplifying k = 7.083333333
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