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Simplifying 3p + -5q + 1 + -9p + -2 = 0 Reorder the terms: 1 + -2 + 3p + -9p + -5q = 0 Combine like terms: 1 + -2 = -1 -1 + 3p + -9p + -5q = 0 Combine like terms: 3p + -9p = -6p -1 + -6p + -5q = 0 Solving -1 + -6p + -5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6p + 1 + -5q = 0 + 1 Reorder the terms: -1 + 1 + -6p + -5q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6p + -5q = 0 + 1 -6p + -5q = 0 + 1 Combine like terms: 0 + 1 = 1 -6p + -5q = 1 Add '5q' to each side of the equation. -6p + -5q + 5q = 1 + 5q Combine like terms: -5q + 5q = 0 -6p + 0 = 1 + 5q -6p = 1 + 5q Divide each side by '-6'. p = -0.1666666667 + -0.8333333333q Simplifying p = -0.1666666667 + -0.8333333333q
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