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Simplifying 2w + 5x + -11y + 6w = 9x + 6y Reorder the terms: 2w + 6w + 5x + -11y = 9x + 6y Combine like terms: 2w + 6w = 8w 8w + 5x + -11y = 9x + 6y Solving 8w + 5x + -11y = 9x + 6y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 8w + 5x + -5x + -11y = 9x + -5x + 6y Combine like terms: 5x + -5x = 0 8w + 0 + -11y = 9x + -5x + 6y 8w + -11y = 9x + -5x + 6y Combine like terms: 9x + -5x = 4x 8w + -11y = 4x + 6y Add '11y' to each side of the equation. 8w + -11y + 11y = 4x + 6y + 11y Combine like terms: -11y + 11y = 0 8w + 0 = 4x + 6y + 11y 8w = 4x + 6y + 11y Combine like terms: 6y + 11y = 17y 8w = 4x + 17y Divide each side by '8'. w = 0.5x + 2.125y Simplifying w = 0.5x + 2.125y
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