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Simplifying 7x + -4w + 2x + 2y + 2y + -2w = 0 Reorder the terms: -4w + -2w + 7x + 2x + 2y + 2y = 0 Combine like terms: -4w + -2w = -6w -6w + 7x + 2x + 2y + 2y = 0 Combine like terms: 7x + 2x = 9x -6w + 9x + 2y + 2y = 0 Combine like terms: 2y + 2y = 4y -6w + 9x + 4y = 0 Solving -6w + 9x + 4y = 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. -6w + 9x + -9x + 4y = 0 + -9x Combine like terms: 9x + -9x = 0 -6w + 0 + 4y = 0 + -9x -6w + 4y = 0 + -9x Remove the zero: -6w + 4y = -9x Add '-4y' to each side of the equation. -6w + 4y + -4y = -9x + -4y Combine like terms: 4y + -4y = 0 -6w + 0 = -9x + -4y -6w = -9x + -4y Divide each side by '-6'. w = 1.5x + 0.6666666667y Simplifying w = 1.5x + 0.6666666667y
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