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Simplifying 3k + 7 = 9k + 8 Reorder the terms: 7 + 3k = 9k + 8 Reorder the terms: 7 + 3k = 8 + 9k Solving 7 + 3k = 8 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 7 + 3k + -9k = 8 + 9k + -9k Combine like terms: 3k + -9k = -6k 7 + -6k = 8 + 9k + -9k Combine like terms: 9k + -9k = 0 7 + -6k = 8 + 0 7 + -6k = 8 Add '-7' to each side of the equation. 7 + -7 + -6k = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = 8 + -7 -6k = 8 + -7 Combine like terms: 8 + -7 = 1 -6k = 1 Divide each side by '-6'. k = -0.1666666667 Simplifying k = -0.1666666667
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