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Simplifying 4w + 8x + 13y + 2w + 4x + -5y = 0 Reorder the terms: 4w + 2w + 8x + 4x + 13y + -5y = 0 Combine like terms: 4w + 2w = 6w 6w + 8x + 4x + 13y + -5y = 0 Combine like terms: 8x + 4x = 12x 6w + 12x + 13y + -5y = 0 Combine like terms: 13y + -5y = 8y 6w + 12x + 8y = 0 Solving 6w + 12x + 8y = 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 + 8y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + 8y = 0 + -12x 6w + 8y = 0 + -12x Remove the zero: 6w + 8y = -12x Add '-8y' to each side of the equation. 6w + 8y + -8y = -12x + -8y Combine like terms: 8y + -8y = 0 6w + 0 = -12x + -8y 6w = -12x + -8y Divide each side by '6'. w = -2x + -1.333333333y Simplifying w = -2x + -1.333333333y
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