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Simplifying 6w + 4y + 7x + 4x + -12y + 3w = 0 Reorder the terms: 6w + 3w + 7x + 4x + 4y + -12y = 0 Combine like terms: 6w + 3w = 9w 9w + 7x + 4x + 4y + -12y = 0 Combine like terms: 7x + 4x = 11x 9w + 11x + 4y + -12y = 0 Combine like terms: 4y + -12y = -8y 9w + 11x + -8y = 0 Solving 9w + 11x + -8y = 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. 9w + 11x + -11x + -8y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + -8y = 0 + -11x 9w + -8y = 0 + -11x Remove the zero: 9w + -8y = -11x Add '8y' to each side of the equation. 9w + -8y + 8y = -11x + 8y Combine like terms: -8y + 8y = 0 9w + 0 = -11x + 8y 9w = -11x + 8y Divide each side by '9'. w = -1.222222222x + 0.8888888889y Simplifying w = -1.222222222x + 0.8888888889y
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