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Simplifying 2w + 3x + -11y + 4w + 1x + 6y = 0 Reorder the terms: 2w + 4w + 3x + 1x + -11y + 6y = 0 Combine like terms: 2w + 4w = 6w 6w + 3x + 1x + -11y + 6y = 0 Combine like terms: 3x + 1x = 4x 6w + 4x + -11y + 6y = 0 Combine like terms: -11y + 6y = -5y 6w + 4x + -5y = 0 Solving 6w + 4x + -5y = 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. 6w + 4x + -4x + -5y = 0 + -4x Combine like terms: 4x + -4x = 0 6w + 0 + -5y = 0 + -4x 6w + -5y = 0 + -4x Remove the zero: 6w + -5y = -4x Add '5y' to each side of the equation. 6w + -5y + 5y = -4x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -4x + 5y 6w = -4x + 5y Divide each side by '6'. w = -0.6666666667x + 0.8333333333y Simplifying w = -0.6666666667x + 0.8333333333y
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