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Simplifying 7x + -8w + 2y + 4w + 5x + 9y = 0 Reorder the terms: -8w + 4w + 7x + 5x + 2y + 9y = 0 Combine like terms: -8w + 4w = -4w -4w + 7x + 5x + 2y + 9y = 0 Combine like terms: 7x + 5x = 12x -4w + 12x + 2y + 9y = 0 Combine like terms: 2y + 9y = 11y -4w + 12x + 11y = 0 Solving -4w + 12x + 11y = 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 + 11y = 0 + -12x Combine like terms: 12x + -12x = 0 -4w + 0 + 11y = 0 + -12x -4w + 11y = 0 + -12x Remove the zero: -4w + 11y = -12x Add '-11y' to each side of the equation. -4w + 11y + -11y = -12x + -11y Combine like terms: 11y + -11y = 0 -4w + 0 = -12x + -11y -4w = -12x + -11y Divide each side by '-4'. w = 3x + 2.75y Simplifying w = 3x + 2.75y
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