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Simplifying 7 + -3k = 5 + -2k + 3 Reorder the terms: 7 + -3k = 5 + 3 + -2k Combine like terms: 5 + 3 = 8 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 = -1k 7 + -1k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + -1k = 8 + 0 7 + -1k = 8 Add '-7' to each side of the equation. 7 + -7 + -1k = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 8 + -7 -1k = 8 + -7 Combine like terms: 8 + -7 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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