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Simplifying 4w + 8x + -12y + 6w + 4x + 6y = 0 Reorder the terms: 4w + 6w + 8x + 4x + -12y + 6y = 0 Combine like terms: 4w + 6w = 10w 10w + 8x + 4x + -12y + 6y = 0 Combine like terms: 8x + 4x = 12x 10w + 12x + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 10w + 12x + -6y = 0 Solving 10w + 12x + -6y = 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. 10w + 12x + -12x + -6y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + -6y = 0 + -12x 10w + -6y = 0 + -12x Remove the zero: 10w + -6y = -12x Add '6y' to each side of the equation. 10w + -6y + 6y = -12x + 6y Combine like terms: -6y + 6y = 0 10w + 0 = -12x + 6y 10w = -12x + 6y Divide each side by '10'. w = -1.2x + 0.6y Simplifying w = -1.2x + 0.6y
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