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Simplifying (7y + 5w + -5)(3y + 1) = 0 Reorder the terms: (-5 + 5w + 7y)(3y + 1) = 0 Reorder the terms: (-5 + 5w + 7y)(1 + 3y) = 0 Multiply (-5 + 5w + 7y) * (1 + 3y) (-5(1 + 3y) + 5w * (1 + 3y) + 7y * (1 + 3y)) = 0 ((1 * -5 + 3y * -5) + 5w * (1 + 3y) + 7y * (1 + 3y)) = 0 ((-5 + -15y) + 5w * (1 + 3y) + 7y * (1 + 3y)) = 0 (-5 + -15y + (1 * 5w + 3y * 5w) + 7y * (1 + 3y)) = 0 (-5 + -15y + (5w + 15wy) + 7y * (1 + 3y)) = 0 (-5 + -15y + 5w + 15wy + (1 * 7y + 3y * 7y)) = 0 (-5 + -15y + 5w + 15wy + (7y + 21y2)) = 0 Reorder the terms: (-5 + 5w + 15wy + -15y + 7y + 21y2) = 0 Combine like terms: -15y + 7y = -8y (-5 + 5w + 15wy + -8y + 21y2) = 0 Solving -5 + 5w + 15wy + -8y + 21y2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5w + 15wy + -8y + 5 + 21y2 = 0 + 5 Reorder the terms: -5 + 5 + 5w + 15wy + -8y + 21y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5w + 15wy + -8y + 21y2 = 0 + 5 5w + 15wy + -8y + 21y2 = 0 + 5 Combine like terms: 0 + 5 = 5 5w + 15wy + -8y + 21y2 = 5 Add '8y' to each side of the equation. 5w + 15wy + -8y + 8y + 21y2 = 5 + 8y Combine like terms: -8y + 8y = 0 5w + 15wy + 0 + 21y2 = 5 + 8y 5w + 15wy + 21y2 = 5 + 8y Add '-21y2' to each side of the equation. 5w + 15wy + 21y2 + -21y2 = 5 + 8y + -21y2 Combine like terms: 21y2 + -21y2 = 0 5w + 15wy + 0 = 5 + 8y + -21y2 5w + 15wy = 5 + 8y + -21y2 Reorder the terms: -5 + 5w + 15wy + -8y + 21y2 = 5 + 8y + -21y2 + -5 + -8y + 21y2 Reorder the terms: -5 + 5w + 15wy + -8y + 21y2 = 5 + -5 + 8y + -8y + -21y2 + 21y2 Combine like terms: 5 + -5 = 0 -5 + 5w + 15wy + -8y + 21y2 = 0 + 8y + -8y + -21y2 + 21y2 -5 + 5w + 15wy + -8y + 21y2 = 8y + -8y + -21y2 + 21y2 Combine like terms: 8y + -8y = 0 -5 + 5w + 15wy + -8y + 21y2 = 0 + -21y2 + 21y2 -5 + 5w + 15wy + -8y + 21y2 = -21y2 + 21y2 Combine like terms: -21y2 + 21y2 = 0 -5 + 5w + 15wy + -8y + 21y2 = 0 The solution to this equation could not be determined.
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