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Simplifying 5 = -7k + 10k Combine like terms: -7k + 10k = 3k 5 = 3k Solving 5 = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 5 + -3k = 3k + -3k Combine like terms: 3k + -3k = 0 5 + -3k = 0 Add '-5' to each side of the equation. 5 + -5 + -3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 0 + -5 -3k = 0 + -5 Combine like terms: 0 + -5 = -5 -3k = -5 Divide each side by '-3'. k = 1.666666667 Simplifying k = 1.666666667
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