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Simplifying 9x + -5w + 3x + 6y + 3y + 2w = 0 Reorder the terms: -5w + 2w + 9x + 3x + 6y + 3y = 0 Combine like terms: -5w + 2w = -3w -3w + 9x + 3x + 6y + 3y = 0 Combine like terms: 9x + 3x = 12x -3w + 12x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -3w + 12x + 9y = 0 Solving -3w + 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. -3w + 12x + -12x + 9y = 0 + -12x Combine like terms: 12x + -12x = 0 -3w + 0 + 9y = 0 + -12x -3w + 9y = 0 + -12x Remove the zero: -3w + 9y = -12x Add '-9y' to each side of the equation. -3w + 9y + -9y = -12x + -9y Combine like terms: 9y + -9y = 0 -3w + 0 = -12x + -9y -3w = -12x + -9y Divide each side by '-3'. w = 4x + 3y Simplifying w = 4x + 3y
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