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Simplifying 3k + -7 = 8 + -2k Reorder the terms: -7 + 3k = 8 + -2k Solving -7 + 3k = 8 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -7 + 3k + 2k = 8 + -2k + 2k Combine like terms: 3k + 2k = 5k -7 + 5k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 -7 + 5k = 8 + 0 -7 + 5k = 8 Add '7' to each side of the equation. -7 + 7 + 5k = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5k = 8 + 7 5k = 8 + 7 Combine like terms: 8 + 7 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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