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Simplifying -5 + 7 + 2k + -3 = k + -8 Reorder the terms: -5 + 7 + -3 + 2k = k + -8 Combine like terms: -5 + 7 = 2 2 + -3 + 2k = k + -8 Combine like terms: 2 + -3 = -1 -1 + 2k = k + -8 Reorder the terms: -1 + 2k = -8 + k Solving -1 + 2k = -8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -1 + 2k + -1k = -8 + k + -1k Combine like terms: 2k + -1k = 1k -1 + 1k = -8 + k + -1k Combine like terms: k + -1k = 0 -1 + 1k = -8 + 0 -1 + 1k = -8 Add '1' to each side of the equation. -1 + 1 + 1k = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 1k = -8 + 1 1k = -8 + 1 Combine like terms: -8 + 1 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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