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Simplifying 2w + -5x + -1y + 8w + 20x + -5y = 0 Reorder the terms: 2w + 8w + -5x + 20x + -1y + -5y = 0 Combine like terms: 2w + 8w = 10w 10w + -5x + 20x + -1y + -5y = 0 Combine like terms: -5x + 20x = 15x 10w + 15x + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 10w + 15x + -6y = 0 Solving 10w + 15x + -6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 10w + 15x + -15x + -6y = 0 + -15x Combine like terms: 15x + -15x = 0 10w + 0 + -6y = 0 + -15x 10w + -6y = 0 + -15x Remove the zero: 10w + -6y = -15x Add '6y' to each side of the equation. 10w + -6y + 6y = -15x + 6y Combine like terms: -6y + 6y = 0 10w + 0 = -15x + 6y 10w = -15x + 6y Divide each side by '10'. w = -1.5x + 0.6y Simplifying w = -1.5x + 0.6y
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