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Simplifying 3w + 4(x + -1y) = 0 3w + (x * 4 + -1y * 4) = 0 3w + (4x + -4y) = 0 Solving 3w + 4x + -4y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4x' to each side of the equation. 3w + 4x + -4x + -4y = 0 + -4x Combine like terms: 4x + -4x = 0 3w + 0 + -4y = 0 + -4x 3w + -4y = 0 + -4x Remove the zero: 3w + -4y = -4x Add '4y' to each side of the equation. 3w + -4y + 4y = -4x + 4y Combine like terms: -4y + 4y = 0 3w + 0 = -4x + 4y 3w = -4x + 4y Divide each side by '3'. w = -1.333333333x + 1.333333333y Simplifying w = -1.333333333x + 1.333333333y
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