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Simplifying 2w + 8x + -14w + 8w + 4x + 8y = 0 Reorder the terms: 2w + -14w + 8w + 8x + 4x + 8y = 0 Combine like terms: 2w + -14w = -12w -12w + 8w + 8x + 4x + 8y = 0 Combine like terms: -12w + 8w = -4w -4w + 8x + 4x + 8y = 0 Combine like terms: 8x + 4x = 12x -4w + 12x + 8y = 0 Solving -4w + 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. -4w + 12x + -12x + 8y = 0 + -12x Combine like terms: 12x + -12x = 0 -4w + 0 + 8y = 0 + -12x -4w + 8y = 0 + -12x Remove the zero: -4w + 8y = -12x Add '-8y' to each side of the equation. -4w + 8y + -8y = -12x + -8y Combine like terms: 8y + -8y = 0 -4w + 0 = -12x + -8y -4w = -12x + -8y Divide each side by '-4'. w = 3x + 2y Simplifying w = 3x + 2y
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