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Simplifying 7x + -6w + 3x + 9y + 2y + 4w = 0 Reorder the terms: -6w + 4w + 7x + 3x + 9y + 2y = 0 Combine like terms: -6w + 4w = -2w -2w + 7x + 3x + 9y + 2y = 0 Combine like terms: 7x + 3x = 10x -2w + 10x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y -2w + 10x + 11y = 0 Solving -2w + 10x + 11y = 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. -2w + 10x + -10x + 11y = 0 + -10x Combine like terms: 10x + -10x = 0 -2w + 0 + 11y = 0 + -10x -2w + 11y = 0 + -10x Remove the zero: -2w + 11y = -10x Add '-11y' to each side of the equation. -2w + 11y + -11y = -10x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -10x + -11y -2w = -10x + -11y Divide each side by '-2'. w = 5x + 5.5y Simplifying w = 5x + 5.5y
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