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Simplifying 5x + -3y + 12w + 2y + -4w + 7x = 0 Reorder the terms: 12w + -4w + 5x + 7x + -3y + 2y = 0 Combine like terms: 12w + -4w = 8w 8w + 5x + 7x + -3y + 2y = 0 Combine like terms: 5x + 7x = 12x 8w + 12x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 8w + 12x + -1y = 0 Solving 8w + 12x + -1y = 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 + -1y = 0 + -12x Combine like terms: 12x + -12x = 0 8w + 0 + -1y = 0 + -12x 8w + -1y = 0 + -12x Remove the zero: 8w + -1y = -12x Add 'y' to each side of the equation. 8w + -1y + y = -12x + y Combine like terms: -1y + y = 0 8w + 0 = -12x + y 8w = -12x + y Divide each side by '8'. w = -1.5x + 0.125y Simplifying w = -1.5x + 0.125y
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