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Simplifying 6x + -4w + 4y + 2w + 2x + 7y = 0 Reorder the terms: -4w + 2w + 6x + 2x + 4y + 7y = 0 Combine like terms: -4w + 2w = -2w -2w + 6x + 2x + 4y + 7y = 0 Combine like terms: 6x + 2x = 8x -2w + 8x + 4y + 7y = 0 Combine like terms: 4y + 7y = 11y -2w + 8x + 11y = 0 Solving -2w + 8x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. -2w + 8x + -8x + 11y = 0 + -8x Combine like terms: 8x + -8x = 0 -2w + 0 + 11y = 0 + -8x -2w + 11y = 0 + -8x Remove the zero: -2w + 11y = -8x Add '-11y' to each side of the equation. -2w + 11y + -11y = -8x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -8x + -11y -2w = -8x + -11y Divide each side by '-2'. w = 4x + 5.5y Simplifying w = 4x + 5.5y
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