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Simplifying (7x + -9w) + (3x + 8y) + (2y + 5w) = 0 Reorder the terms: (-9w + 7x) + (3x + 8y) + (2y + 5w) = 0 Remove parenthesis around (-9w + 7x) -9w + 7x + (3x + 8y) + (2y + 5w) = 0 Remove parenthesis around (3x + 8y) -9w + 7x + 3x + 8y + (2y + 5w) = 0 Reorder the terms: -9w + 7x + 3x + 8y + (5w + 2y) = 0 Remove parenthesis around (5w + 2y) -9w + 7x + 3x + 8y + 5w + 2y = 0 Reorder the terms: -9w + 5w + 7x + 3x + 8y + 2y = 0 Combine like terms: -9w + 5w = -4w -4w + 7x + 3x + 8y + 2y = 0 Combine like terms: 7x + 3x = 10x -4w + 10x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y -4w + 10x + 10y = 0 Solving -4w + 10x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. -4w + 10x + -10x + 10y = 0 + -10x Combine like terms: 10x + -10x = 0 -4w + 0 + 10y = 0 + -10x -4w + 10y = 0 + -10x Remove the zero: -4w + 10y = -10x Add '-10y' to each side of the equation. -4w + 10y + -10y = -10x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -10x + -10y -4w = -10x + -10y Divide each side by '-4'. w = 2.5x + 2.5y Simplifying w = 2.5x + 2.5y
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