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Simplifying 8k + 4 + -3k = 3k + 1 + -5 + -2 Reorder the terms: 4 + 8k + -3k = 3k + 1 + -5 + -2 Combine like terms: 8k + -3k = 5k 4 + 5k = 3k + 1 + -5 + -2 Reorder the terms: 4 + 5k = 1 + -5 + -2 + 3k Combine like terms: 1 + -5 = -4 4 + 5k = -4 + -2 + 3k Combine like terms: -4 + -2 = -6 4 + 5k = -6 + 3k Solving 4 + 5k = -6 + 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. 4 + 5k + -3k = -6 + 3k + -3k Combine like terms: 5k + -3k = 2k 4 + 2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + 2k = -6 + 0 4 + 2k = -6 Add '-4' to each side of the equation. 4 + -4 + 2k = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = -6 + -4 2k = -6 + -4 Combine like terms: -6 + -4 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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