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Simplifying 6x + -9w + 3x + 7y + 3y + 5w = 0 Reorder the terms: -9w + 5w + 6x + 3x + 7y + 3y = 0 Combine like terms: -9w + 5w = -4w -4w + 6x + 3x + 7y + 3y = 0 Combine like terms: 6x + 3x = 9x -4w + 9x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -4w + 9x + 10y = 0 Solving -4w + 9x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -4w + 9x + -9x + 10y = 0 + -9x Combine like terms: 9x + -9x = 0 -4w + 0 + 10y = 0 + -9x -4w + 10y = 0 + -9x Remove the zero: -4w + 10y = -9x Add '-10y' to each side of the equation. -4w + 10y + -10y = -9x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -9x + -10y -4w = -9x + -10y Divide each side by '-4'. w = 2.25x + 2.5y Simplifying w = 2.25x + 2.5y
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