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Simplifying 6x + -6w + 3x + 9y + 3y + 2w = 0 Reorder the terms: -6w + 2w + 6x + 3x + 9y + 3y = 0 Combine like terms: -6w + 2w = -4w -4w + 6x + 3x + 9y + 3y = 0 Combine like terms: 6x + 3x = 9x -4w + 9x + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y -4w + 9x + 12y = 0 Solving -4w + 9x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -4w + 9x + -9x + 12y = 0 + -9x Combine like terms: 9x + -9x = 0 -4w + 0 + 12y = 0 + -9x -4w + 12y = 0 + -9x Remove the zero: -4w + 12y = -9x Add '-12y' to each side of the equation. -4w + 12y + -12y = -9x + -12y Combine like terms: 12y + -12y = 0 -4w + 0 = -9x + -12y -4w = -9x + -12y Divide each side by '-4'. w = 2.25x + 3y Simplifying w = 2.25x + 3y
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