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Simplifying 7p + -1q + p + -2k = 0 Reorder the terms: -2k + 7p + p + -1q = 0 Combine like terms: 7p + p = 8p -2k + 8p + -1q = 0 Solving -2k + 8p + -1q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8p' to each side of the equation. -2k + 8p + -8p + -1q = 0 + -8p Combine like terms: 8p + -8p = 0 -2k + 0 + -1q = 0 + -8p -2k + -1q = 0 + -8p Remove the zero: -2k + -1q = -8p Add 'q' to each side of the equation. -2k + -1q + q = -8p + q Combine like terms: -1q + q = 0 -2k + 0 = -8p + q -2k = -8p + q Divide each side by '-2'. k = 4p + -0.5q Simplifying k = 4p + -0.5q
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