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Simplifying 3w + 6x + -12y + 7w + 5x + 6y = 0 Reorder the terms: 3w + 7w + 6x + 5x + -12y + 6y = 0 Combine like terms: 3w + 7w = 10w 10w + 6x + 5x + -12y + 6y = 0 Combine like terms: 6x + 5x = 11x 10w + 11x + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 10w + 11x + -6y = 0 Solving 10w + 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. 10w + 11x + -11x + -6y = 0 + -11x Combine like terms: 11x + -11x = 0 10w + 0 + -6y = 0 + -11x 10w + -6y = 0 + -11x Remove the zero: 10w + -6y = -11x Add '6y' to each side of the equation. 10w + -6y + 6y = -11x + 6y Combine like terms: -6y + 6y = 0 10w + 0 = -11x + 6y 10w = -11x + 6y Divide each side by '10'. w = -1.1x + 0.6y Simplifying w = -1.1x + 0.6y
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