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Simplifying 8x + -3y + 14w + 3y + -5w + 7x = 0 Reorder the terms: 14w + -5w + 8x + 7x + -3y + 3y = 0 Combine like terms: 14w + -5w = 9w 9w + 8x + 7x + -3y + 3y = 0 Combine like terms: 8x + 7x = 15x 9w + 15x + -3y + 3y = 0 Combine like terms: -3y + 3y = 0 9w + 15x + 0 = 0 9w + 15x = 0 Solving 9w + 15x = 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 = 0 + -15x Combine like terms: 15x + -15x = 0 9w + 0 = 0 + -15x 9w = 0 + -15x Remove the zero: 9w = -15x Divide each side by '9'. w = -1.666666667x Simplifying w = -1.666666667x
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