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Simplifying 7x + -7w + 3y + 5w + 4x + 8y = 0 Reorder the terms: -7w + 5w + 7x + 4x + 3y + 8y = 0 Combine like terms: -7w + 5w = -2w -2w + 7x + 4x + 3y + 8y = 0 Combine like terms: 7x + 4x = 11x -2w + 11x + 3y + 8y = 0 Combine like terms: 3y + 8y = 11y -2w + 11x + 11y = 0 Solving -2w + 11x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. -2w + 11x + -11x + 11y = 0 + -11x Combine like terms: 11x + -11x = 0 -2w + 0 + 11y = 0 + -11x -2w + 11y = 0 + -11x Remove the zero: -2w + 11y = -11x Add '-11y' to each side of the equation. -2w + 11y + -11y = -11x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -11x + -11y -2w = -11x + -11y Divide each side by '-2'. w = 5.5x + 5.5y Simplifying w = 5.5x + 5.5y
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