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Simplifying 7 + 6k = 13 + -3k Solving 7 + 6k = 13 + -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. 7 + 6k + 3k = 13 + -3k + 3k Combine like terms: 6k + 3k = 9k 7 + 9k = 13 + -3k + 3k Combine like terms: -3k + 3k = 0 7 + 9k = 13 + 0 7 + 9k = 13 Add '-7' to each side of the equation. 7 + -7 + 9k = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 9k = 13 + -7 9k = 13 + -7 Combine like terms: 13 + -7 = 6 9k = 6 Divide each side by '9'. k = 0.6666666667 Simplifying k = 0.6666666667
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