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Simplifying 6w + 3y + 2w + 5x + 6y = 0 Reorder the terms: 6w + 2w + 5x + 3y + 6y = 0 Combine like terms: 6w + 2w = 8w 8w + 5x + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y 8w + 5x + 9y = 0 Solving 8w + 5x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 8w + 5x + -5x + 9y = 0 + -5x Combine like terms: 5x + -5x = 0 8w + 0 + 9y = 0 + -5x 8w + 9y = 0 + -5x Remove the zero: 8w + 9y = -5x Add '-9y' to each side of the equation. 8w + 9y + -9y = -5x + -9y Combine like terms: 9y + -9y = 0 8w + 0 = -5x + -9y 8w = -5x + -9y Divide each side by '8'. w = -0.625x + -1.125y Simplifying w = -0.625x + -1.125y
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