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Simplifying 7x + -3y + 11w + 6y + -5w + 7x = 0 Reorder the terms: 11w + -5w + 7x + 7x + -3y + 6y = 0 Combine like terms: 11w + -5w = 6w 6w + 7x + 7x + -3y + 6y = 0 Combine like terms: 7x + 7x = 14x 6w + 14x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y 6w + 14x + 3y = 0 Solving 6w + 14x + 3y = 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. 6w + 14x + -14x + 3y = 0 + -14x Combine like terms: 14x + -14x = 0 6w + 0 + 3y = 0 + -14x 6w + 3y = 0 + -14x Remove the zero: 6w + 3y = -14x Add '-3y' to each side of the equation. 6w + 3y + -3y = -14x + -3y Combine like terms: 3y + -3y = 0 6w + 0 = -14x + -3y 6w = -14x + -3y Divide each side by '6'. w = -2.333333333x + -0.5y Simplifying w = -2.333333333x + -0.5y
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