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Simplifying 4w + 6x + -12y + 6w + 7x + 7y = 0 Reorder the terms: 4w + 6w + 6x + 7x + -12y + 7y = 0 Combine like terms: 4w + 6w = 10w 10w + 6x + 7x + -12y + 7y = 0 Combine like terms: 6x + 7x = 13x 10w + 13x + -12y + 7y = 0 Combine like terms: -12y + 7y = -5y 10w + 13x + -5y = 0 Solving 10w + 13x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 10w + 13x + -13x + -5y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + -5y = 0 + -13x 10w + -5y = 0 + -13x Remove the zero: 10w + -5y = -13x Add '5y' to each side of the equation. 10w + -5y + 5y = -13x + 5y Combine like terms: -5y + 5y = 0 10w + 0 = -13x + 5y 10w = -13x + 5y Divide each side by '10'. w = -1.3x + 0.5y Simplifying w = -1.3x + 0.5y
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