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Simplifying (3x + -1y)(w + p + -3) = 0 Reorder the terms: (3x + -1y)(-3 + p + w) = 0 Multiply (3x + -1y) * (-3 + p + w) (3x * (-3 + p + w) + -1y * (-3 + p + w)) = 0 ((-3 * 3x + p * 3x + w * 3x) + -1y * (-3 + p + w)) = 0 Reorder the terms: ((3px + 3wx + -9x) + -1y * (-3 + p + w)) = 0 ((3px + 3wx + -9x) + -1y * (-3 + p + w)) = 0 (3px + 3wx + -9x + (-3 * -1y + p * -1y + w * -1y)) = 0 Reorder the terms: (3px + 3wx + -9x + (-1py + -1wy + 3y)) = 0 (3px + 3wx + -9x + (-1py + -1wy + 3y)) = 0 Reorder the terms: (3px + -1py + 3wx + -1wy + -9x + 3y) = 0 (3px + -1py + 3wx + -1wy + -9x + 3y) = 0 Solving 3px + -1py + 3wx + -1wy + -9x + 3y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3wx' to each side of the equation. 3px + -1py + 3wx + -1wy + -9x + -3wx + 3y = 0 + -3wx Reorder the terms: 3px + -1py + 3wx + -3wx + -1wy + -9x + 3y = 0 + -3wx Combine like terms: 3wx + -3wx = 0 3px + -1py + 0 + -1wy + -9x + 3y = 0 + -3wx 3px + -1py + -1wy + -9x + 3y = 0 + -3wx Remove the zero: 3px + -1py + -1wy + -9x + 3y = -3wx Add 'wy' to each side of the equation. 3px + -1py + -1wy + -9x + wy + 3y = -3wx + wy Reorder the terms: 3px + -1py + -1wy + wy + -9x + 3y = -3wx + wy Combine like terms: -1wy + wy = 0 3px + -1py + 0 + -9x + 3y = -3wx + wy 3px + -1py + -9x + 3y = -3wx + wy Add '9x' to each side of the equation. 3px + -1py + -9x + 9x + 3y = -3wx + wy + 9x Combine like terms: -9x + 9x = 0 3px + -1py + 0 + 3y = -3wx + wy + 9x 3px + -1py + 3y = -3wx + wy + 9x Add '-3y' to each side of the equation. 3px + -1py + 3y + -3y = -3wx + wy + 9x + -3y Combine like terms: 3y + -3y = 0 3px + -1py + 0 = -3wx + wy + 9x + -3y 3px + -1py = -3wx + wy + 9x + -3y Reorder the terms: 3px + -1py + 3wx + -1wy + -9x + 3y = -3wx + 3wx + wy + -1wy + 9x + -9x + -3y + 3y Combine like terms: -3wx + 3wx = 0 3px + -1py + 3wx + -1wy + -9x + 3y = 0 + wy + -1wy + 9x + -9x + -3y + 3y 3px + -1py + 3wx + -1wy + -9x + 3y = wy + -1wy + 9x + -9x + -3y + 3y Combine like terms: wy + -1wy = 0 3px + -1py + 3wx + -1wy + -9x + 3y = 0 + 9x + -9x + -3y + 3y 3px + -1py + 3wx + -1wy + -9x + 3y = 9x + -9x + -3y + 3y Combine like terms: 9x + -9x = 0 3px + -1py + 3wx + -1wy + -9x + 3y = 0 + -3y + 3y 3px + -1py + 3wx + -1wy + -9x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 3px + -1py + 3wx + -1wy + -9x + 3y = 0 The solution to this equation could not be determined.
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