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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 = -61 12k = -61 Divide each side by '12'. k = -5.083333333 Simplifying k = -5.083333333
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