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Simplifying 2w + 2x + 14y + 7w + 13x + -9y = 0 Reorder the terms: 2w + 7w + 2x + 13x + 14y + -9y = 0 Combine like terms: 2w + 7w = 9w 9w + 2x + 13x + 14y + -9y = 0 Combine like terms: 2x + 13x = 15x 9w + 15x + 14y + -9y = 0 Combine like terms: 14y + -9y = 5y 9w + 15x + 5y = 0 Solving 9w + 15x + 5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 9w + 15x + -15x + 5y = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 + 5y = 0 + -15x 9w + 5y = 0 + -15x Remove the zero: 9w + 5y = -15x Add '-5y' to each side of the equation. 9w + 5y + -5y = -15x + -5y Combine like terms: 5y + -5y = 0 9w + 0 = -15x + -5y 9w = -15x + -5y Divide each side by '9'. w = -1.666666667x + -0.5555555556y Simplifying w = -1.666666667x + -0.5555555556y
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