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Simplifying 10w + 3x + -5y = 0 Solving 10w + 3x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 10w + 3x + -3x + -5y = 0 + -3x Combine like terms: 3x + -3x = 0 10w + 0 + -5y = 0 + -3x 10w + -5y = 0 + -3x Remove the zero: 10w + -5y = -3x Add '5y' to each side of the equation. 10w + -5y + 5y = -3x + 5y Combine like terms: -5y + 5y = 0 10w + 0 = -3x + 5y 10w = -3x + 5y Divide each side by '10'. w = -0.3x + 0.5y Simplifying w = -0.3x + 0.5y
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