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Simplifying 3w + 2x + -13y + 5w + 12x + 7y = 0 Reorder the terms: 3w + 5w + 2x + 12x + -13y + 7y = 0 Combine like terms: 3w + 5w = 8w 8w + 2x + 12x + -13y + 7y = 0 Combine like terms: 2x + 12x = 14x 8w + 14x + -13y + 7y = 0 Combine like terms: -13y + 7y = -6y 8w + 14x + -6y = 0 Solving 8w + 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. 8w + 14x + -14x + -6y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + -6y = 0 + -14x 8w + -6y = 0 + -14x Remove the zero: 8w + -6y = -14x Add '6y' to each side of the equation. 8w + -6y + 6y = -14x + 6y Combine like terms: -6y + 6y = 0 8w + 0 = -14x + 6y 8w = -14x + 6y Divide each side by '8'. w = -1.75x + 0.75y Simplifying w = -1.75x + 0.75y
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