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Simplifying 73 = -6(r + -7) + 6(k + 5) Reorder the terms: 73 = -6(-7 + r) + 6(k + 5) 73 = (-7 * -6 + r * -6) + 6(k + 5) 73 = (42 + -6r) + 6(k + 5) Reorder the terms: 73 = 42 + -6r + 6(5 + k) 73 = 42 + -6r + (5 * 6 + k * 6) 73 = 42 + -6r + (30 + 6k) Reorder the terms: 73 = 42 + 30 + 6k + -6r Combine like terms: 42 + 30 = 72 73 = 72 + 6k + -6r Solving 73 = 72 + 6k + -6r Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 73 + -6k = 72 + 6k + -6k + -6r Combine like terms: 6k + -6k = 0 73 + -6k = 72 + 0 + -6r 73 + -6k = 72 + -6r Add '-73' to each side of the equation. 73 + -73 + -6k = 72 + -73 + -6r Combine like terms: 73 + -73 = 0 0 + -6k = 72 + -73 + -6r -6k = 72 + -73 + -6r Combine like terms: 72 + -73 = -1 -6k = -1 + -6r Divide each side by '-6'. k = 0.1666666667 + r Simplifying k = 0.1666666667 + r
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