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Simplifying (9x + -6w) + (3x + 7y) + (2y + 4w) = 0 Reorder the terms: (-6w + 9x) + (3x + 7y) + (2y + 4w) = 0 Remove parenthesis around (-6w + 9x) -6w + 9x + (3x + 7y) + (2y + 4w) = 0 Remove parenthesis around (3x + 7y) -6w + 9x + 3x + 7y + (2y + 4w) = 0 Reorder the terms: -6w + 9x + 3x + 7y + (4w + 2y) = 0 Remove parenthesis around (4w + 2y) -6w + 9x + 3x + 7y + 4w + 2y = 0 Reorder the terms: -6w + 4w + 9x + 3x + 7y + 2y = 0 Combine like terms: -6w + 4w = -2w -2w + 9x + 3x + 7y + 2y = 0 Combine like terms: 9x + 3x = 12x -2w + 12x + 7y + 2y = 0 Combine like terms: 7y + 2y = 9y -2w + 12x + 9y = 0 Solving -2w + 12x + 9y = 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. -2w + 12x + -12x + 9y = 0 + -12x Combine like terms: 12x + -12x = 0 -2w + 0 + 9y = 0 + -12x -2w + 9y = 0 + -12x Remove the zero: -2w + 9y = -12x Add '-9y' to each side of the equation. -2w + 9y + -9y = -12x + -9y Combine like terms: 9y + -9y = 0 -2w + 0 = -12x + -9y -2w = -12x + -9y Divide each side by '-2'. w = 6x + 4.5y Simplifying w = 6x + 4.5y
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