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Simplifying -3k + 2 = -2(k + -3) + -3k Reorder the terms: 2 + -3k = -2(k + -3) + -3k Reorder the terms: 2 + -3k = -2(-3 + k) + -3k 2 + -3k = (-3 * -2 + k * -2) + -3k 2 + -3k = (6 + -2k) + -3k Combine like terms: -2k + -3k = -5k 2 + -3k = 6 + -5k Solving 2 + -3k = 6 + -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. 2 + -3k + 5k = 6 + -5k + 5k Combine like terms: -3k + 5k = 2k 2 + 2k = 6 + -5k + 5k Combine like terms: -5k + 5k = 0 2 + 2k = 6 + 0 2 + 2k = 6 Add '-2' to each side of the equation. 2 + -2 + 2k = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 6 + -2 2k = 6 + -2 Combine like terms: 6 + -2 = 4 2k = 4 Divide each side by '2'. k = 2 Simplifying k = 2
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