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Simplifying 3x + -3y + 12w + -4y + -3w + 8x = 0 Reorder the terms: 12w + -3w + 3x + 8x + -3y + -4y = 0 Combine like terms: 12w + -3w = 9w 9w + 3x + 8x + -3y + -4y = 0 Combine like terms: 3x + 8x = 11x 9w + 11x + -3y + -4y = 0 Combine like terms: -3y + -4y = -7y 9w + 11x + -7y = 0 Solving 9w + 11x + -7y = 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 + -7y = 0 + -11x Combine like terms: 11x + -11x = 0 9w + 0 + -7y = 0 + -11x 9w + -7y = 0 + -11x Remove the zero: 9w + -7y = -11x Add '7y' to each side of the equation. 9w + -7y + 7y = -11x + 7y Combine like terms: -7y + 7y = 0 9w + 0 = -11x + 7y 9w = -11x + 7y Divide each side by '9'. w = -1.222222222x + 0.7777777778y Simplifying w = -1.222222222x + 0.7777777778y
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