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Simplifying 9x + -7w + 2x + 6y + 3y + 5w = 0 Reorder the terms: -7w + 5w + 9x + 2x + 6y + 3y = 0 Combine like terms: -7w + 5w = -2w -2w + 9x + 2x + 6y + 3y = 0 Combine like terms: 9x + 2x = 11x -2w + 11x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -2w + 11x + 9y = 0 Solving -2w + 11x + 9y = 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 + 9y = 0 + -11x Combine like terms: 11x + -11x = 0 -2w + 0 + 9y = 0 + -11x -2w + 9y = 0 + -11x Remove the zero: -2w + 9y = -11x Add '-9y' to each side of the equation. -2w + 9y + -9y = -11x + -9y Combine like terms: 9y + -9y = 0 -2w + 0 = -11x + -9y -2w = -11x + -9y Divide each side by '-2'. w = 5.5x + 4.5y Simplifying w = 5.5x + 4.5y
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