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Simplifying 4x + 7x + -15y + 6w + 9y = 0 Reorder the terms: 6w + 4x + 7x + -15y + 9y = 0 Combine like terms: 4x + 7x = 11x 6w + 11x + -15y + 9y = 0 Combine like terms: -15y + 9y = -6y 6w + 11x + -6y = 0 Solving 6w + 11x + -6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 6w + 11x + -11x + -6y = 0 + -11x Combine like terms: 11x + -11x = 0 6w + 0 + -6y = 0 + -11x 6w + -6y = 0 + -11x Remove the zero: 6w + -6y = -11x Add '6y' to each side of the equation. 6w + -6y + 6y = -11x + 6y Combine like terms: -6y + 6y = 0 6w + 0 = -11x + 6y 6w = -11x + 6y Divide each side by '6'. w = -1.833333333x + y Simplifying w = -1.833333333x + y
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