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Simplifying 73 = -6(x + -7) + 6(k + 5) Reorder the terms: 73 = -6(-7 + x) + 6(k + 5) 73 = (-7 * -6 + x * -6) + 6(k + 5) 73 = (42 + -6x) + 6(k + 5) Reorder the terms: 73 = 42 + -6x + 6(5 + k) 73 = 42 + -6x + (5 * 6 + k * 6) 73 = 42 + -6x + (30 + 6k) Reorder the terms: 73 = 42 + 30 + 6k + -6x Combine like terms: 42 + 30 = 72 73 = 72 + 6k + -6x Solving 73 = 72 + 6k + -6x 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 + -6x Combine like terms: 6k + -6k = 0 73 + -6k = 72 + 0 + -6x 73 + -6k = 72 + -6x Add '-73' to each side of the equation. 73 + -73 + -6k = 72 + -73 + -6x Combine like terms: 73 + -73 = 0 0 + -6k = 72 + -73 + -6x -6k = 72 + -73 + -6x Combine like terms: 72 + -73 = -1 -6k = -1 + -6x Divide each side by '-6'. k = 0.1666666667 + x Simplifying k = 0.1666666667 + x
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