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Simplifying 2x(4w + 9) + -3y(4w + 9) = 0 Reorder the terms: 2x(9 + 4w) + -3y(4w + 9) = 0 (9 * 2x + 4w * 2x) + -3y(4w + 9) = 0 Reorder the terms: (8wx + 18x) + -3y(4w + 9) = 0 (8wx + 18x) + -3y(4w + 9) = 0 Reorder the terms: 8wx + 18x + -3y(9 + 4w) = 0 8wx + 18x + (9 * -3y + 4w * -3y) = 0 Reorder the terms: 8wx + 18x + (-12wy + -27y) = 0 8wx + 18x + (-12wy + -27y) = 0 Reorder the terms: 8wx + -12wy + 18x + -27y = 0 Solving 8wx + -12wy + 18x + -27y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18x' to each side of the equation. 8wx + -12wy + 18x + -18x + -27y = 0 + -18x Combine like terms: 18x + -18x = 0 8wx + -12wy + 0 + -27y = 0 + -18x 8wx + -12wy + -27y = 0 + -18x Remove the zero: 8wx + -12wy + -27y = -18x Add '27y' to each side of the equation. 8wx + -12wy + -27y + 27y = -18x + 27y Combine like terms: -27y + 27y = 0 8wx + -12wy + 0 = -18x + 27y 8wx + -12wy = -18x + 27y Reorder the terms: 8wx + -12wy + 18x + -27y = -18x + 18x + 27y + -27y Combine like terms: -18x + 18x = 0 8wx + -12wy + 18x + -27y = 0 + 27y + -27y 8wx + -12wy + 18x + -27y = 27y + -27y Combine like terms: 27y + -27y = 0 8wx + -12wy + 18x + -27y = 0 The solution to this equation could not be determined.
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