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Simplifying 3w + 9x + -14y + 3w + 5x + 6y = 0 Reorder the terms: 3w + 3w + 9x + 5x + -14y + 6y = 0 Combine like terms: 3w + 3w = 6w 6w + 9x + 5x + -14y + 6y = 0 Combine like terms: 9x + 5x = 14x 6w + 14x + -14y + 6y = 0 Combine like terms: -14y + 6y = -8y 6w + 14x + -8y = 0 Solving 6w + 14x + -8y = 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 + -8y = 0 + -14x Combine like terms: 14x + -14x = 0 6w + 0 + -8y = 0 + -14x 6w + -8y = 0 + -14x Remove the zero: 6w + -8y = -14x Add '8y' to each side of the equation. 6w + -8y + 8y = -14x + 8y Combine like terms: -8y + 8y = 0 6w + 0 = -14x + 8y 6w = -14x + 8y Divide each side by '6'. w = -2.333333333x + 1.333333333y Simplifying w = -2.333333333x + 1.333333333y
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