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Simplifying (7x + -9w) + (4x + 7y) + (3y + 5w) = 0 Reorder the terms: (-9w + 7x) + (4x + 7y) + (3y + 5w) = 0 Remove parenthesis around (-9w + 7x) -9w + 7x + (4x + 7y) + (3y + 5w) = 0 Remove parenthesis around (4x + 7y) -9w + 7x + 4x + 7y + (3y + 5w) = 0 Reorder the terms: -9w + 7x + 4x + 7y + (5w + 3y) = 0 Remove parenthesis around (5w + 3y) -9w + 7x + 4x + 7y + 5w + 3y = 0 Reorder the terms: -9w + 5w + 7x + 4x + 7y + 3y = 0 Combine like terms: -9w + 5w = -4w -4w + 7x + 4x + 7y + 3y = 0 Combine like terms: 7x + 4x = 11x -4w + 11x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -4w + 11x + 10y = 0 Solving -4w + 11x + 10y = 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. -4w + 11x + -11x + 10y = 0 + -11x Combine like terms: 11x + -11x = 0 -4w + 0 + 10y = 0 + -11x -4w + 10y = 0 + -11x Remove the zero: -4w + 10y = -11x Add '-10y' to each side of the equation. -4w + 10y + -10y = -11x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -11x + -10y -4w = -11x + -10y Divide each side by '-4'. w = 2.75x + 2.5y Simplifying w = 2.75x + 2.5y
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