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Simplifying 6(1k + -7) + -2 = 5 Reorder the terms: 6(-7 + 1k) + -2 = 5 (-7 * 6 + 1k * 6) + -2 = 5 (-42 + 6k) + -2 = 5 Reorder the terms: -42 + -2 + 6k = 5 Combine like terms: -42 + -2 = -44 -44 + 6k = 5 Solving -44 + 6k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 6k = 5 + 44 Combine like terms: -44 + 44 = 0 0 + 6k = 5 + 44 6k = 5 + 44 Combine like terms: 5 + 44 = 49 6k = 49 Divide each side by '6'. k = 8.166666667 Simplifying k = 8.166666667
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