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Simplifying 3 + -4k = 5k + -3 Reorder the terms: 3 + -4k = -3 + 5k Solving 3 + -4k = -3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 3 + -4k + -5k = -3 + 5k + -5k Combine like terms: -4k + -5k = -9k 3 + -9k = -3 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + -9k = -3 + 0 3 + -9k = -3 Add '-3' to each side of the equation. 3 + -3 + -9k = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -9k = -3 + -3 -9k = -3 + -3 Combine like terms: -3 + -3 = -6 -9k = -6 Divide each side by '-9'. k = 0.6666666667 Simplifying k = 0.6666666667
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