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Simplifying 5(x + -2) + -8K = 34 Reorder the terms: 5(-2 + x) + -8K = 34 (-2 * 5 + x * 5) + -8K = 34 (-10 + 5x) + -8K = 34 Reorder the terms: -10 + -8K + 5x = 34 Solving -10 + -8K + 5x = 34 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -8K + 10 + 5x = 34 + 10 Reorder the terms: -10 + 10 + -8K + 5x = 34 + 10 Combine like terms: -10 + 10 = 0 0 + -8K + 5x = 34 + 10 -8K + 5x = 34 + 10 Combine like terms: 34 + 10 = 44 -8K + 5x = 44 Add '-5x' to each side of the equation. -8K + 5x + -5x = 44 + -5x Combine like terms: 5x + -5x = 0 -8K + 0 = 44 + -5x -8K = 44 + -5x Divide each side by '-8'. K = -5.5 + 0.625x Simplifying K = -5.5 + 0.625x
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