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Simplifying 9x + -8w + 5y + -4w + 3x + 7y = 0 Reorder the terms: -8w + -4w + 9x + 3x + 5y + 7y = 0 Combine like terms: -8w + -4w = -12w -12w + 9x + 3x + 5y + 7y = 0 Combine like terms: 9x + 3x = 12x -12w + 12x + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y -12w + 12x + 12y = 0 Solving -12w + 12x + 12y = 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. -12w + 12x + -12x + 12y = 0 + -12x Combine like terms: 12x + -12x = 0 -12w + 0 + 12y = 0 + -12x -12w + 12y = 0 + -12x Remove the zero: -12w + 12y = -12x Add '-12y' to each side of the equation. -12w + 12y + -12y = -12x + -12y Combine like terms: 12y + -12y = 0 -12w + 0 = -12x + -12y -12w = -12x + -12y Divide each side by '-12'. w = x + y Simplifying w = x + y
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