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Simplifying 73 = -6(k + -7) + (k + 5) Reorder the terms: 73 = -6(-7 + k) + (k + 5) 73 = (-7 * -6 + k * -6) + (k + 5) 73 = (42 + -6k) + (k + 5) Reorder the terms: 73 = 42 + -6k + (5 + k) Remove parenthesis around (5 + k) 73 = 42 + -6k + 5 + k Reorder the terms: 73 = 42 + 5 + -6k + k Combine like terms: 42 + 5 = 47 73 = 47 + -6k + k Combine like terms: -6k + k = -5k 73 = 47 + -5k Solving 73 = 47 + -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 = 47 + -5k + 5k Combine like terms: -5k + 5k = 0 73 + 5k = 47 + 0 73 + 5k = 47 Add '-73' to each side of the equation. 73 + -73 + 5k = 47 + -73 Combine like terms: 73 + -73 = 0 0 + 5k = 47 + -73 5k = 47 + -73 Combine like terms: 47 + -73 = -26 5k = -26 Divide each side by '5'. k = -5.2 Simplifying k = -5.2
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