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Simplifying 5w + 7y + 3x + 8x + -13y + 4w = 0 Reorder the terms: 5w + 4w + 3x + 8x + 7y + -13y = 0 Combine like terms: 5w + 4w = 9w 9w + 3x + 8x + 7y + -13y = 0 Combine like terms: 3x + 8x = 11x 9w + 11x + 7y + -13y = 0 Combine like terms: 7y + -13y = -6y 9w + 11x + -6y = 0 Solving 9w + 11x + -6y = 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 + -6y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + -6y = 0 + -11x 9w + -6y = 0 + -11x Remove the zero: 9w + -6y = -11x Add '6y' to each side of the equation. 9w + -6y + 6y = -11x + 6y Combine like terms: -6y + 6y = 0 9w + 0 = -11x + 6y 9w = -11x + 6y Divide each side by '9'. w = -1.222222222x + 0.6666666667y Simplifying w = -1.222222222x + 0.6666666667y
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