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Simplifying 6x + -6w + 5x + 7y + 5y + 2w = 0 Reorder the terms: -6w + 2w + 6x + 5x + 7y + 5y = 0 Combine like terms: -6w + 2w = -4w -4w + 6x + 5x + 7y + 5y = 0 Combine like terms: 6x + 5x = 11x -4w + 11x + 7y + 5y = 0 Combine like terms: 7y + 5y = 12y -4w + 11x + 12y = 0 Solving -4w + 11x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. -4w + 11x + -11x + 12y = 0 + -11x Combine like terms: 11x + -11x = 0 -4w + 0 + 12y = 0 + -11x -4w + 12y = 0 + -11x Remove the zero: -4w + 12y = -11x Add '-12y' to each side of the equation. -4w + 12y + -12y = -11x + -12y Combine like terms: 12y + -12y = 0 -4w + 0 = -11x + -12y -4w = -11x + -12y Divide each side by '-4'. w = 2.75x + 3y Simplifying w = 2.75x + 3y
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