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Simplifying 4w + 6x + 14y + 5w + 7x + -7y = 0 Reorder the terms: 4w + 5w + 6x + 7x + 14y + -7y = 0 Combine like terms: 4w + 5w = 9w 9w + 6x + 7x + 14y + -7y = 0 Combine like terms: 6x + 7x = 13x 9w + 13x + 14y + -7y = 0 Combine like terms: 14y + -7y = 7y 9w + 13x + 7y = 0 Solving 9w + 13x + 7y = 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 + 7y = 0 + -13x Combine like terms: 13x + -13x = 0 9w + 0 + 7y = 0 + -13x 9w + 7y = 0 + -13x Remove the zero: 9w + 7y = -13x Add '-7y' to each side of the equation. 9w + 7y + -7y = -13x + -7y Combine like terms: 7y + -7y = 0 9w + 0 = -13x + -7y 9w = -13x + -7y Divide each side by '9'. w = -1.444444444x + -0.7777777778y Simplifying w = -1.444444444x + -0.7777777778y
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