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Simplifying 2w + 7x + -12y + 5w + 6x + 3y = 0 Reorder the terms: 2w + 5w + 7x + 6x + -12y + 3y = 0 Combine like terms: 2w + 5w = 7w 7w + 7x + 6x + -12y + 3y = 0 Combine like terms: 7x + 6x = 13x 7w + 13x + -12y + 3y = 0 Combine like terms: -12y + 3y = -9y 7w + 13x + -9y = 0 Solving 7w + 13x + -9y = 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. 7w + 13x + -13x + -9y = 0 + -13x Combine like terms: 13x + -13x = 0 7w + 0 + -9y = 0 + -13x 7w + -9y = 0 + -13x Remove the zero: 7w + -9y = -13x Add '9y' to each side of the equation. 7w + -9y + 9y = -13x + 9y Combine like terms: -9y + 9y = 0 7w + 0 = -13x + 9y 7w = -13x + 9y Divide each side by '7'. w = -1.857142857x + 1.285714286y Simplifying w = -1.857142857x + 1.285714286y
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