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Simplifying 4w + 6x + 13y + 2w + 6x + -6y = 0 Reorder the terms: 4w + 2w + 6x + 6x + 13y + -6y = 0 Combine like terms: 4w + 2w = 6w 6w + 6x + 6x + 13y + -6y = 0 Combine like terms: 6x + 6x = 12x 6w + 12x + 13y + -6y = 0 Combine like terms: 13y + -6y = 7y 6w + 12x + 7y = 0 Solving 6w + 12x + 7y = 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 + 7y = 0 + -12x Combine like terms: 12x + -12x = 0 6w + 0 + 7y = 0 + -12x 6w + 7y = 0 + -12x Remove the zero: 6w + 7y = -12x Add '-7y' to each side of the equation. 6w + 7y + -7y = -12x + -7y Combine like terms: 7y + -7y = 0 6w + 0 = -12x + -7y 6w = -12x + -7y Divide each side by '6'. w = -2x + -1.166666667y Simplifying w = -2x + -1.166666667y
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