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Simplifying 3w + 2x + -12y + 4w + 12x + 6y = 0 Reorder the terms: 3w + 4w + 2x + 12x + -12y + 6y = 0 Combine like terms: 3w + 4w = 7w 7w + 2x + 12x + -12y + 6y = 0 Combine like terms: 2x + 12x = 14x 7w + 14x + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 7w + 14x + -6y = 0 Solving 7w + 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. 7w + 14x + -14x + -6y = 0 + -14x Combine like terms: 14x + -14x = 0 7w + 0 + -6y = 0 + -14x 7w + -6y = 0 + -14x Remove the zero: 7w + -6y = -14x Add '6y' to each side of the equation. 7w + -6y + 6y = -14x + 6y Combine like terms: -6y + 6y = 0 7w + 0 = -14x + 6y 7w = -14x + 6y Divide each side by '7'. w = -2x + 0.8571428571y Simplifying w = -2x + 0.8571428571y
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