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Simplifying (9x + -4w) + (4x + 9y) + (2y + 2w) = 0 Reorder the terms: (-4w + 9x) + (4x + 9y) + (2y + 2w) = 0 Remove parenthesis around (-4w + 9x) -4w + 9x + (4x + 9y) + (2y + 2w) = 0 Remove parenthesis around (4x + 9y) -4w + 9x + 4x + 9y + (2y + 2w) = 0 Reorder the terms: -4w + 9x + 4x + 9y + (2w + 2y) = 0 Remove parenthesis around (2w + 2y) -4w + 9x + 4x + 9y + 2w + 2y = 0 Reorder the terms: -4w + 2w + 9x + 4x + 9y + 2y = 0 Combine like terms: -4w + 2w = -2w -2w + 9x + 4x + 9y + 2y = 0 Combine like terms: 9x + 4x = 13x -2w + 13x + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y -2w + 13x + 11y = 0 Solving -2w + 13x + 11y = 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. -2w + 13x + -13x + 11y = 0 + -13x Combine like terms: 13x + -13x = 0 -2w + 0 + 11y = 0 + -13x -2w + 11y = 0 + -13x Remove the zero: -2w + 11y = -13x Add '-11y' to each side of the equation. -2w + 11y + -11y = -13x + -11y Combine like terms: 11y + -11y = 0 -2w + 0 = -13x + -11y -2w = -13x + -11y Divide each side by '-2'. w = 6.5x + 5.5y Simplifying w = 6.5x + 5.5y
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