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Simplifying 2w + 9x + -13y + 4w + 3x + 8y = 0 Reorder the terms: 2w + 4w + 9x + 3x + -13y + 8y = 0 Combine like terms: 2w + 4w = 6w 6w + 9x + 3x + -13y + 8y = 0 Combine like terms: 9x + 3x = 12x 6w + 12x + -13y + 8y = 0 Combine like terms: -13y + 8y = -5y 6w + 12x + -5y = 0 Solving 6w + 12x + -5y = 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 + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + -5y = 0 + -12x 6w + -5y = 0 + -12x Remove the zero: 6w + -5y = -12x Add '5y' to each side of the equation. 6w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -12x + 5y 6w = -12x + 5y Divide each side by '6'. w = -2x + 0.8333333333y Simplifying w = -2x + 0.8333333333y
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