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Simplifying 8x + -3y + 11w + 6y + -5w + 4x = 0 Reorder the terms: 11w + -5w + 8x + 4x + -3y + 6y = 0 Combine like terms: 11w + -5w = 6w 6w + 8x + 4x + -3y + 6y = 0 Combine like terms: 8x + 4x = 12x 6w + 12x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y 6w + 12x + 3y = 0 Solving 6w + 12x + 3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 6w + 12x + -12x + 3y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + 3y = 0 + -12x 6w + 3y = 0 + -12x Remove the zero: 6w + 3y = -12x Add '-3y' to each side of the equation. 6w + 3y + -3y = -12x + -3y Combine like terms: 3y + -3y = 0 6w + 0 = -12x + -3y 6w = -12x + -3y Divide each side by '6'. w = -2x + -0.5y Simplifying w = -2x + -0.5y
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