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Simplifying 4w + 6y + -3x + -1w + 5x + -2y = 0 Reorder the terms: 4w + -1w + -3x + 5x + 6y + -2y = 0 Combine like terms: 4w + -1w = 3w 3w + -3x + 5x + 6y + -2y = 0 Combine like terms: -3x + 5x = 2x 3w + 2x + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y 3w + 2x + 4y = 0 Solving 3w + 2x + 4y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. 3w + 2x + -2x + 4y = 0 + -2x Combine like terms: 2x + -2x = 0 3w + 0 + 4y = 0 + -2x 3w + 4y = 0 + -2x Remove the zero: 3w + 4y = -2x Add '-4y' to each side of the equation. 3w + 4y + -4y = -2x + -4y Combine like terms: 4y + -4y = 0 3w + 0 = -2x + -4y 3w = -2x + -4y Divide each side by '3'. w = -0.6666666667x + -1.333333333y Simplifying w = -0.6666666667x + -1.333333333y
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