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Simplifying -12 + 5x + 7k + -3x + -3k + -28 = 0 Reorder the terms: -12 + -28 + 7k + -3k + 5x + -3x = 0 Combine like terms: -12 + -28 = -40 -40 + 7k + -3k + 5x + -3x = 0 Combine like terms: 7k + -3k = 4k -40 + 4k + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -40 + 4k + 2x = 0 Solving -40 + 4k + 2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 4k + 40 + 2x = 0 + 40 Reorder the terms: -40 + 40 + 4k + 2x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4k + 2x = 0 + 40 4k + 2x = 0 + 40 Combine like terms: 0 + 40 = 40 4k + 2x = 40 Add '-2x' to each side of the equation. 4k + 2x + -2x = 40 + -2x Combine like terms: 2x + -2x = 0 4k + 0 = 40 + -2x 4k = 40 + -2x Divide each side by '4'. k = 10 + -0.5x Simplifying k = 10 + -0.5x
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