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Simplifying 3w + 9x + -12y + 7w + 2x + 3y = 0 Reorder the terms: 3w + 7w + 9x + 2x + -12y + 3y = 0 Combine like terms: 3w + 7w = 10w 10w + 9x + 2x + -12y + 3y = 0 Combine like terms: 9x + 2x = 11x 10w + 11x + -12y + 3y = 0 Combine like terms: -12y + 3y = -9y 10w + 11x + -9y = 0 Solving 10w + 11x + -9y = 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. 10w + 11x + -11x + -9y = 0 + -11x Combine like terms: 11x + -11x = 0 10w + 0 + -9y = 0 + -11x 10w + -9y = 0 + -11x Remove the zero: 10w + -9y = -11x Add '9y' to each side of the equation. 10w + -9y + 9y = -11x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = -11x + 9y 10w = -11x + 9y Divide each side by '10'. w = -1.1x + 0.9y Simplifying w = -1.1x + 0.9y
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