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Simplifying 8x + -3y + 13w + -4y + -6w + 5x = 0 Reorder the terms: 13w + -6w + 8x + 5x + -3y + -4y = 0 Combine like terms: 13w + -6w = 7w 7w + 8x + 5x + -3y + -4y = 0 Combine like terms: 8x + 5x = 13x 7w + 13x + -3y + -4y = 0 Combine like terms: -3y + -4y = -7y 7w + 13x + -7y = 0 Solving 7w + 13x + -7y = 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 + -7y = 0 + -13x Combine like terms: 13x + -13x = 0 7w + 0 + -7y = 0 + -13x 7w + -7y = 0 + -13x Remove the zero: 7w + -7y = -13x Add '7y' to each side of the equation. 7w + -7y + 7y = -13x + 7y Combine like terms: -7y + 7y = 0 7w + 0 = -13x + 7y 7w = -13x + 7y Divide each side by '7'. w = -1.857142857x + y Simplifying w = -1.857142857x + y
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