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Simplifying 0 = 2x + 9y + 2y + 3w + 6x + -7w Reorder the terms: 0 = 3w + -7w + 2x + 6x + 9y + 2y Combine like terms: 3w + -7w = -4w 0 = -4w + 2x + 6x + 9y + 2y Combine like terms: 2x + 6x = 8x 0 = -4w + 8x + 9y + 2y Combine like terms: 9y + 2y = 11y 0 = -4w + 8x + 11y Solving 0 = -4w + 8x + 11y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 0 + 4w = -4w + 8x + 4w + 11y Remove the zero: 4w = -4w + 8x + 4w + 11y Reorder the terms: 4w = -4w + 4w + 8x + 11y Combine like terms: -4w + 4w = 0 4w = 0 + 8x + 11y 4w = 8x + 11y Divide each side by '4'. w = 2x + 2.75y Simplifying w = 2x + 2.75y
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