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Simplifying 4k + 5p + -2k + 4p = 6k + -9p Reorder the terms: 4k + -2k + 5p + 4p = 6k + -9p Combine like terms: 4k + -2k = 2k 2k + 5p + 4p = 6k + -9p Combine like terms: 5p + 4p = 9p 2k + 9p = 6k + -9p Solving 2k + 9p = 6k + -9p Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 2k + -6k + 9p = 6k + -6k + -9p Combine like terms: 2k + -6k = -4k -4k + 9p = 6k + -6k + -9p Combine like terms: 6k + -6k = 0 -4k + 9p = 0 + -9p -4k + 9p = -9p Add '-9p' to each side of the equation. -4k + 9p + -9p = -9p + -9p Combine like terms: 9p + -9p = 0 -4k + 0 = -9p + -9p -4k = -9p + -9p Combine like terms: -9p + -9p = -18p -4k = -18p Divide each side by '-4'. k = 4.5p Simplifying k = 4.5p
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