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Simplifying 3w + -4x + -1y + 7w + 17w + -4y = 0 Reorder the terms: 3w + 7w + 17w + -4x + -1y + -4y = 0 Combine like terms: 3w + 7w = 10w 10w + 17w + -4x + -1y + -4y = 0 Combine like terms: 10w + 17w = 27w 27w + -4x + -1y + -4y = 0 Combine like terms: -1y + -4y = -5y 27w + -4x + -5y = 0 Solving 27w + -4x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 27w + -4x + 4x + -5y = 0 + 4x Combine like terms: -4x + 4x = 0 27w + 0 + -5y = 0 + 4x 27w + -5y = 0 + 4x Remove the zero: 27w + -5y = 4x Add '5y' to each side of the equation. 27w + -5y + 5y = 4x + 5y Combine like terms: -5y + 5y = 0 27w + 0 = 4x + 5y 27w = 4x + 5y Divide each side by '27'. w = 0.1481481481x + 0.1851851852y Simplifying w = 0.1481481481x + 0.1851851852y
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