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Simplifying 4w + 7x + 14y + 5w + 6x + -8y = 0 Reorder the terms: 4w + 5w + 7x + 6x + 14y + -8y = 0 Combine like terms: 4w + 5w = 9w 9w + 7x + 6x + 14y + -8y = 0 Combine like terms: 7x + 6x = 13x 9w + 13x + 14y + -8y = 0 Combine like terms: 14y + -8y = 6y 9w + 13x + 6y = 0 Solving 9w + 13x + 6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 9w + 13x + -13x + 6y = 0 + -13x Combine like terms: 13x + -13x = 0 9w + 0 + 6y = 0 + -13x 9w + 6y = 0 + -13x Remove the zero: 9w + 6y = -13x Add '-6y' to each side of the equation. 9w + 6y + -6y = -13x + -6y Combine like terms: 6y + -6y = 0 9w + 0 = -13x + -6y 9w = -13x + -6y Divide each side by '9'. w = -1.444444444x + -0.6666666667y Simplifying w = -1.444444444x + -0.6666666667y
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