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Simplifying 7x + -9w + 5x + 6y + 4y + 5w = 0 Reorder the terms: -9w + 5w + 7x + 5x + 6y + 4y = 0 Combine like terms: -9w + 5w = -4w -4w + 7x + 5x + 6y + 4y = 0 Combine like terms: 7x + 5x = 12x -4w + 12x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y -4w + 12x + 10y = 0 Solving -4w + 12x + 10y = 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 + 10y = 0 + -12x Combine like terms: 12x + -12x = 0 -4w + 0 + 10y = 0 + -12x -4w + 10y = 0 + -12x Remove the zero: -4w + 10y = -12x Add '-10y' to each side of the equation. -4w + 10y + -10y = -12x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -12x + -10y -4w = -12x + -10y Divide each side by '-4'. w = 3x + 2.5y Simplifying w = 3x + 2.5y
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