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Simplifying 7w + 35x + 14y + 49z = 0 Solving 7w + 35x + 14y + 49z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35x' to each side of the equation. 7w + 35x + 14y + -35x + 49z = 0 + -35x Reorder the terms: 7w + 35x + -35x + 14y + 49z = 0 + -35x Combine like terms: 35x + -35x = 0 7w + 0 + 14y + 49z = 0 + -35x 7w + 14y + 49z = 0 + -35x Remove the zero: 7w + 14y + 49z = -35x Add '-14y' to each side of the equation. 7w + 14y + -14y + 49z = -35x + -14y Combine like terms: 14y + -14y = 0 7w + 0 + 49z = -35x + -14y 7w + 49z = -35x + -14y Add '-49z' to each side of the equation. 7w + 49z + -49z = -35x + -14y + -49z Combine like terms: 49z + -49z = 0 7w + 0 = -35x + -14y + -49z 7w = -35x + -14y + -49z Divide each side by '7'. w = -5x + -2y + -7z Simplifying w = -5x + -2y + -7z
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