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Simplifying 7x + -6w + 5y + 2w + 3x + 9y = 0 Reorder the terms: -6w + 2w + 7x + 3x + 5y + 9y = 0 Combine like terms: -6w + 2w = -4w -4w + 7x + 3x + 5y + 9y = 0 Combine like terms: 7x + 3x = 10x -4w + 10x + 5y + 9y = 0 Combine like terms: 5y + 9y = 14y -4w + 10x + 14y = 0 Solving -4w + 10x + 14y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. -4w + 10x + -10x + 14y = 0 + -10x Combine like terms: 10x + -10x = 0 -4w + 0 + 14y = 0 + -10x -4w + 14y = 0 + -10x Remove the zero: -4w + 14y = -10x Add '-14y' to each side of the equation. -4w + 14y + -14y = -10x + -14y Combine like terms: 14y + -14y = 0 -4w + 0 = -10x + -14y -4w = -10x + -14y Divide each side by '-4'. w = 2.5x + 3.5y Simplifying w = 2.5x + 3.5y
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