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Simplifying 7x + -4w + 5y + 2w + 2x + 8y = 0 Reorder the terms: -4w + 2w + 7x + 2x + 5y + 8y = 0 Combine like terms: -4w + 2w = -2w -2w + 7x + 2x + 5y + 8y = 0 Combine like terms: 7x + 2x = 9x -2w + 9x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y -2w + 9x + 13y = 0 Solving -2w + 9x + 13y = 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. -2w + 9x + -9x + 13y = 0 + -9x Combine like terms: 9x + -9x = 0 -2w + 0 + 13y = 0 + -9x -2w + 13y = 0 + -9x Remove the zero: -2w + 13y = -9x Add '-13y' to each side of the equation. -2w + 13y + -13y = -9x + -13y Combine like terms: 13y + -13y = 0 -2w + 0 = -9x + -13y -2w = -9x + -13y Divide each side by '-2'. w = 4.5x + 6.5y Simplifying w = 4.5x + 6.5y
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