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Simplifying (9x + 7w) + (3x + 8y) + (3y + 5w) = 0 Reorder the terms: (7w + 9x) + (3x + 8y) + (3y + 5w) = 0 Remove parenthesis around (7w + 9x) 7w + 9x + (3x + 8y) + (3y + 5w) = 0 Remove parenthesis around (3x + 8y) 7w + 9x + 3x + 8y + (3y + 5w) = 0 Reorder the terms: 7w + 9x + 3x + 8y + (5w + 3y) = 0 Remove parenthesis around (5w + 3y) 7w + 9x + 3x + 8y + 5w + 3y = 0 Reorder the terms: 7w + 5w + 9x + 3x + 8y + 3y = 0 Combine like terms: 7w + 5w = 12w 12w + 9x + 3x + 8y + 3y = 0 Combine like terms: 9x + 3x = 12x 12w + 12x + 8y + 3y = 0 Combine like terms: 8y + 3y = 11y 12w + 12x + 11y = 0 Solving 12w + 12x + 11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 12w + 12x + -12x + 11y = 0 + -12x Combine like terms: 12x + -12x = 0 12w + 0 + 11y = 0 + -12x 12w + 11y = 0 + -12x Remove the zero: 12w + 11y = -12x Add '-11y' to each side of the equation. 12w + 11y + -11y = -12x + -11y Combine like terms: 11y + -11y = 0 12w + 0 = -12x + -11y 12w = -12x + -11y Divide each side by '12'. w = -1x + -0.9166666667y Simplifying w = -1x + -0.9166666667y
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