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Simplifying -5k + 3 = -6 + 4k Reorder the terms: 3 + -5k = -6 + 4k Solving 3 + -5k = -6 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 3 + -5k + -4k = -6 + 4k + -4k Combine like terms: -5k + -4k = -9k 3 + -9k = -6 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -9k = -6 + 0 3 + -9k = -6 Add '-3' to each side of the equation. 3 + -3 + -9k = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -9k = -6 + -3 -9k = -6 + -3 Combine like terms: -6 + -3 = -9 -9k = -9 Divide each side by '-9'. k = 1 Simplifying k = 1
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