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Simplifying -5 + 7 + 2x + -3k = k + -8 Reorder the terms: -5 + 7 + -3k + 2x = k + -8 Combine like terms: -5 + 7 = 2 2 + -3k + 2x = k + -8 Reorder the terms: 2 + -3k + 2x = -8 + k Solving 2 + -3k + 2x = -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. 2 + -3k + -1k + 2x = -8 + k + -1k Combine like terms: -3k + -1k = -4k 2 + -4k + 2x = -8 + k + -1k Combine like terms: k + -1k = 0 2 + -4k + 2x = -8 + 0 2 + -4k + 2x = -8 Add '-2' to each side of the equation. 2 + -4k + -2 + 2x = -8 + -2 Reorder the terms: 2 + -2 + -4k + 2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -4k + 2x = -8 + -2 -4k + 2x = -8 + -2 Combine like terms: -8 + -2 = -10 -4k + 2x = -10 Add '-2x' to each side of the equation. -4k + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 -4k + 0 = -10 + -2x -4k = -10 + -2x Divide each side by '-4'. k = 2.5 + 0.5x Simplifying k = 2.5 + 0.5x
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