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Simplifying 4x + 8y + 9x + -6w + 5y + 2w = 0 Reorder the terms: -6w + 2w + 4x + 9x + 8y + 5y = 0 Combine like terms: -6w + 2w = -4w -4w + 4x + 9x + 8y + 5y = 0 Combine like terms: 4x + 9x = 13x -4w + 13x + 8y + 5y = 0 Combine like terms: 8y + 5y = 13y -4w + 13x + 13y = 0 Solving -4w + 13x + 13y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -4w + 13x + -13x + 13y = 0 + -13x Combine like terms: 13x + -13x = 0 -4w + 0 + 13y = 0 + -13x -4w + 13y = 0 + -13x Remove the zero: -4w + 13y = -13x Add '-13y' to each side of the equation. -4w + 13y + -13y = -13x + -13y Combine like terms: 13y + -13y = 0 -4w + 0 = -13x + -13y -4w = -13x + -13y Divide each side by '-4'. w = 3.25x + 3.25y Simplifying w = 3.25x + 3.25y
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