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Simplifying 7x + -7w + 5x + 7y + 5y + -5w = 0 Reorder the terms: -7w + -5w + 7x + 5x + 7y + 5y = 0 Combine like terms: -7w + -5w = -12w -12w + 7x + 5x + 7y + 5y = 0 Combine like terms: 7x + 5x = 12x -12w + 12x + 7y + 5y = 0 Combine like terms: 7y + 5y = 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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