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Simplifying 5k + -6 = -3k + 10 Reorder the terms: -6 + 5k = -3k + 10 Reorder the terms: -6 + 5k = 10 + -3k Solving -6 + 5k = 10 + -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. -6 + 5k + 3k = 10 + -3k + 3k Combine like terms: 5k + 3k = 8k -6 + 8k = 10 + -3k + 3k Combine like terms: -3k + 3k = 0 -6 + 8k = 10 + 0 -6 + 8k = 10 Add '6' to each side of the equation. -6 + 6 + 8k = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = 10 + 6 8k = 10 + 6 Combine like terms: 10 + 6 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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