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Simplifying 9x + -6w + -4y + 3w + 3x + 9y = 0 Reorder the terms: -6w + 3w + 9x + 3x + -4y + 9y = 0 Combine like terms: -6w + 3w = -3w -3w + 9x + 3x + -4y + 9y = 0 Combine like terms: 9x + 3x = 12x -3w + 12x + -4y + 9y = 0 Combine like terms: -4y + 9y = 5y -3w + 12x + 5y = 0 Solving -3w + 12x + 5y = 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 + 5y = 0 + -12x Combine like terms: 12x + -12x = 0 -3w + 0 + 5y = 0 + -12x -3w + 5y = 0 + -12x Remove the zero: -3w + 5y = -12x Add '-5y' to each side of the equation. -3w + 5y + -5y = -12x + -5y Combine like terms: 5y + -5y = 0 -3w + 0 = -12x + -5y -3w = -12x + -5y Divide each side by '-3'. w = 4x + 1.666666667y Simplifying w = 4x + 1.666666667y
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