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Simplifying 9x + -6w + 3y + 2w + 5x + 6y = 0 Reorder the terms: -6w + 2w + 9x + 5x + 3y + 6y = 0 Combine like terms: -6w + 2w = -4w -4w + 9x + 5x + 3y + 6y = 0 Combine like terms: 9x + 5x = 14x -4w + 14x + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y -4w + 14x + 9y = 0 Solving -4w + 14x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. -4w + 14x + -14x + 9y = 0 + -14x Combine like terms: 14x + -14x = 0 -4w + 0 + 9y = 0 + -14x -4w + 9y = 0 + -14x Remove the zero: -4w + 9y = -14x Add '-9y' to each side of the equation. -4w + 9y + -9y = -14x + -9y Combine like terms: 9y + -9y = 0 -4w + 0 = -14x + -9y -4w = -14x + -9y Divide each side by '-4'. w = 3.5x + 2.25y Simplifying w = 3.5x + 2.25y
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