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Simplifying 3w + 7x + 12y + 7w + 7x + -6y = 0 Reorder the terms: 3w + 7w + 7x + 7x + 12y + -6y = 0 Combine like terms: 3w + 7w = 10w 10w + 7x + 7x + 12y + -6y = 0 Combine like terms: 7x + 7x = 14x 10w + 14x + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 10w + 14x + 6y = 0 Solving 10w + 14x + 6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 10w + 14x + -14x + 6y = 0 + -14x Combine like terms: 14x + -14x = 0 10w + 0 + 6y = 0 + -14x 10w + 6y = 0 + -14x Remove the zero: 10w + 6y = -14x Add '-6y' to each side of the equation. 10w + 6y + -6y = -14x + -6y Combine like terms: 6y + -6y = 0 10w + 0 = -14x + -6y 10w = -14x + -6y Divide each side by '10'. w = -1.4x + -0.6y Simplifying w = -1.4x + -0.6y
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