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Simplifying 8x + -7w + 5x + 9y + 4y + 5w = 0 Reorder the terms: -7w + 5w + 8x + 5x + 9y + 4y = 0 Combine like terms: -7w + 5w = -2w -2w + 8x + 5x + 9y + 4y = 0 Combine like terms: 8x + 5x = 13x -2w + 13x + 9y + 4y = 0 Combine like terms: 9y + 4y = 13y -2w + 13x + 13y = 0 Solving -2w + 13x + 13y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -2w + 13x + -13x + 13y = 0 + -13x Combine like terms: 13x + -13x = 0 -2w + 0 + 13y = 0 + -13x -2w + 13y = 0 + -13x Remove the zero: -2w + 13y = -13x Add '-13y' to each side of the equation. -2w + 13y + -13y = -13x + -13y Combine like terms: 13y + -13y = 0 -2w + 0 = -13x + -13y -2w = -13x + -13y Divide each side by '-2'. w = 6.5x + 6.5y Simplifying w = 6.5x + 6.5y
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