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Simplifying 4w + 3x + -1y + 5w + -14x + -7y = 0 Reorder the terms: 4w + 5w + 3x + -14x + -1y + -7y = 0 Combine like terms: 4w + 5w = 9w 9w + 3x + -14x + -1y + -7y = 0 Combine like terms: 3x + -14x = -11x 9w + -11x + -1y + -7y = 0 Combine like terms: -1y + -7y = -8y 9w + -11x + -8y = 0 Solving 9w + -11x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11x' to each side of the equation. 9w + -11x + 11x + -8y = 0 + 11x Combine like terms: -11x + 11x = 0 9w + 0 + -8y = 0 + 11x 9w + -8y = 0 + 11x Remove the zero: 9w + -8y = 11x Add '8y' to each side of the equation. 9w + -8y + 8y = 11x + 8y Combine like terms: -8y + 8y = 0 9w + 0 = 11x + 8y 9w = 11x + 8y Divide each side by '9'. w = 1.222222222x + 0.8888888889y Simplifying w = 1.222222222x + 0.8888888889y
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