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Simplifying 1 + 1.5K = 2K + -2.5 Reorder the terms: 1 + 1.5K = -2.5 + 2K Solving 1 + 1.5K = -2.5 + 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. 1 + 1.5K + -2K = -2.5 + 2K + -2K Combine like terms: 1.5K + -2K = -0.5K 1 + -0.5K = -2.5 + 2K + -2K Combine like terms: 2K + -2K = 0 1 + -0.5K = -2.5 + 0 1 + -0.5K = -2.5 Add '-1' to each side of the equation. 1 + -1 + -0.5K = -2.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5K = -2.5 + -1 -0.5K = -2.5 + -1 Combine like terms: -2.5 + -1 = -3.5 -0.5K = -3.5 Divide each side by '-0.5'. K = 7 Simplifying K = 7
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