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Simplifying 5w + 6y + 6x + 7x + -13y + 5w = 0 Reorder the terms: 5w + 5w + 6x + 7x + 6y + -13y = 0 Combine like terms: 5w + 5w = 10w 10w + 6x + 7x + 6y + -13y = 0 Combine like terms: 6x + 7x = 13x 10w + 13x + 6y + -13y = 0 Combine like terms: 6y + -13y = -7y 10w + 13x + -7y = 0 Solving 10w + 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. 10w + 13x + -13x + -7y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + -7y = 0 + -13x 10w + -7y = 0 + -13x Remove the zero: 10w + -7y = -13x Add '7y' to each side of the equation. 10w + -7y + 7y = -13x + 7y Combine like terms: -7y + 7y = 0 10w + 0 = -13x + 7y 10w = -13x + 7y Divide each side by '10'. w = -1.3x + 0.7y Simplifying w = -1.3x + 0.7y
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