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Simplifying 11x + -2y + 12w + -6y + -3w + -2x = 0 Reorder the terms: 12w + -3w + 11x + -2x + -2y + -6y = 0 Combine like terms: 12w + -3w = 9w 9w + 11x + -2x + -2y + -6y = 0 Combine like terms: 11x + -2x = 9x 9w + 9x + -2y + -6y = 0 Combine like terms: -2y + -6y = -8y 9w + 9x + -8y = 0 Solving 9w + 9x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. 9w + 9x + -9x + -8y = 0 + -9x Combine like terms: 9x + -9x = 0 9w + 0 + -8y = 0 + -9x 9w + -8y = 0 + -9x Remove the zero: 9w + -8y = -9x Add '8y' to each side of the equation. 9w + -8y + 8y = -9x + 8y Combine like terms: -8y + 8y = 0 9w + 0 = -9x + 8y 9w = -9x + 8y Divide each side by '9'. w = -1x + 0.8888888889y Simplifying w = -1x + 0.8888888889y
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