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Simplifying -27 + 14x + 7k + -5x + -3k + 20 = 0 Reorder the terms: -27 + 20 + 7k + -3k + 14x + -5x = 0 Combine like terms: -27 + 20 = -7 -7 + 7k + -3k + 14x + -5x = 0 Combine like terms: 7k + -3k = 4k -7 + 4k + 14x + -5x = 0 Combine like terms: 14x + -5x = 9x -7 + 4k + 9x = 0 Solving -7 + 4k + 9x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4k + 7 + 9x = 0 + 7 Reorder the terms: -7 + 7 + 4k + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4k + 9x = 0 + 7 4k + 9x = 0 + 7 Combine like terms: 0 + 7 = 7 4k + 9x = 7 Add '-9x' to each side of the equation. 4k + 9x + -9x = 7 + -9x Combine like terms: 9x + -9x = 0 4k + 0 = 7 + -9x 4k = 7 + -9x Divide each side by '4'. k = 1.75 + -2.25x Simplifying k = 1.75 + -2.25x
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