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Simplifying 5p + -3 + 9k + -2p + 4 + -10k = 0 Reorder the terms: -3 + 4 + 9k + -10k + 5p + -2p = 0 Combine like terms: -3 + 4 = 1 1 + 9k + -10k + 5p + -2p = 0 Combine like terms: 9k + -10k = -1k 1 + -1k + 5p + -2p = 0 Combine like terms: 5p + -2p = 3p 1 + -1k + 3p = 0 Solving 1 + -1k + 3p = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1k + -1 + 3p = 0 + -1 Reorder the terms: 1 + -1 + -1k + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k + 3p = 0 + -1 -1k + 3p = 0 + -1 Combine like terms: 0 + -1 = -1 -1k + 3p = -1 Add '-3p' to each side of the equation. -1k + 3p + -3p = -1 + -3p Combine like terms: 3p + -3p = 0 -1k + 0 = -1 + -3p -1k = -1 + -3p Divide each side by '-1'. k = 1 + 3p Simplifying k = 1 + 3p
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