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Simplifying 7x + -8w + 2x + 9y + 5y + 4w = 0 Reorder the terms: -8w + 4w + 7x + 2x + 9y + 5y = 0 Combine like terms: -8w + 4w = -4w -4w + 7x + 2x + 9y + 5y = 0 Combine like terms: 7x + 2x = 9x -4w + 9x + 9y + 5y = 0 Combine like terms: 9y + 5y = 14y -4w + 9x + 14y = 0 Solving -4w + 9x + 14y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -4w + 9x + -9x + 14y = 0 + -9x Combine like terms: 9x + -9x = 0 -4w + 0 + 14y = 0 + -9x -4w + 14y = 0 + -9x Remove the zero: -4w + 14y = -9x Add '-14y' to each side of the equation. -4w + 14y + -14y = -9x + -14y Combine like terms: 14y + -14y = 0 -4w + 0 = -9x + -14y -4w = -9x + -14y Divide each side by '-4'. w = 2.25x + 3.5y Simplifying w = 2.25x + 3.5y
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