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Simplifying 4x + -3y + 12w + -3y + -4w + 8x = 0 Reorder the terms: 12w + -4w + 4x + 8x + -3y + -3y = 0 Combine like terms: 12w + -4w = 8w 8w + 4x + 8x + -3y + -3y = 0 Combine like terms: 4x + 8x = 12x 8w + 12x + -3y + -3y = 0 Combine like terms: -3y + -3y = -6y 8w + 12x + -6y = 0 Solving 8w + 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. 8w + 12x + -12x + -6y = 0 + -12x Combine like terms: 12x + -12x = 0 8w + 0 + -6y = 0 + -12x 8w + -6y = 0 + -12x Remove the zero: 8w + -6y = -12x Add '6y' to each side of the equation. 8w + -6y + 6y = -12x + 6y Combine like terms: -6y + 6y = 0 8w + 0 = -12x + 6y 8w = -12x + 6y Divide each side by '8'. w = -1.5x + 0.75y Simplifying w = -1.5x + 0.75y
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