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Simplifying -5x + 7 + 2k + -3k = k + -8 Reorder the terms: 7 + 2k + -3k + -5x = k + -8 Combine like terms: 2k + -3k = -1k 7 + -1k + -5x = k + -8 Reorder the terms: 7 + -1k + -5x = -8 + k Solving 7 + -1k + -5x = -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. 7 + -1k + -1k + -5x = -8 + k + -1k Combine like terms: -1k + -1k = -2k 7 + -2k + -5x = -8 + k + -1k Combine like terms: k + -1k = 0 7 + -2k + -5x = -8 + 0 7 + -2k + -5x = -8 Add '-7' to each side of the equation. 7 + -2k + -7 + -5x = -8 + -7 Reorder the terms: 7 + -7 + -2k + -5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -2k + -5x = -8 + -7 -2k + -5x = -8 + -7 Combine like terms: -8 + -7 = -15 -2k + -5x = -15 Add '5x' to each side of the equation. -2k + -5x + 5x = -15 + 5x Combine like terms: -5x + 5x = 0 -2k + 0 = -15 + 5x -2k = -15 + 5x Divide each side by '-2'. k = 7.5 + -2.5x Simplifying k = 7.5 + -2.5x
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