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Simplifying p + q + -3r + (-2p) + -2q + 2r = 0 Reorder the terms: p + (-2p) + q + -2q + -3r + 2r = 0 Combine like terms: p + (-2p) = -1p -1p + q + -2q + -3r + 2r = 0 Combine like terms: q + -2q = -1q -1p + -1q + -3r + 2r = 0 Combine like terms: -3r + 2r = -1r -1p + -1q + -1r = 0 Solving -1p + -1q + -1r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. -1p + -1q + q + -1r = 0 + q Combine like terms: -1q + q = 0 -1p + 0 + -1r = 0 + q -1p + -1r = 0 + q Remove the zero: -1p + -1r = q Add 'r' to each side of the equation. -1p + -1r + r = q + r Combine like terms: -1r + r = 0 -1p + 0 = q + r -1p = q + r Divide each side by '-1'. p = -1q + -1r Simplifying p = -1q + -1r
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