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Simplifying 8x + -2y + 15w + -3y + -6w + 6x = 0 Reorder the terms: 15w + -6w + 8x + 6x + -2y + -3y = 0 Combine like terms: 15w + -6w = 9w 9w + 8x + 6x + -2y + -3y = 0 Combine like terms: 8x + 6x = 14x 9w + 14x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 9w + 14x + -5y = 0 Solving 9w + 14x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 9w + 14x + -14x + -5y = 0 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + -5y = 0 + -14x 9w + -5y = 0 + -14x Remove the zero: 9w + -5y = -14x Add '5y' to each side of the equation. 9w + -5y + 5y = -14x + 5y Combine like terms: -5y + 5y = 0 9w + 0 = -14x + 5y 9w = -14x + 5y Divide each side by '9'. w = -1.555555556x + 0.5555555556y Simplifying w = -1.555555556x + 0.5555555556y
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