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Simplifying 9x + -4w + 5x + 8y + 2y + 2w = 0 Reorder the terms: -4w + 2w + 9x + 5x + 8y + 2y = 0 Combine like terms: -4w + 2w = -2w -2w + 9x + 5x + 8y + 2y = 0 Combine like terms: 9x + 5x = 14x -2w + 14x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y -2w + 14x + 10y = 0 Solving -2w + 14x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. -2w + 14x + -14x + 10y = 0 + -14x Combine like terms: 14x + -14x = 0 -2w + 0 + 10y = 0 + -14x -2w + 10y = 0 + -14x Remove the zero: -2w + 10y = -14x Add '-10y' to each side of the equation. -2w + 10y + -10y = -14x + -10y Combine like terms: 10y + -10y = 0 -2w + 0 = -14x + -10y -2w = -14x + -10y Divide each side by '-2'. w = 7x + 5y Simplifying w = 7x + 5y
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