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Simplifying 3w + 7x + -13y + 5w + 6x + 8y = 0 Reorder the terms: 3w + 5w + 7x + 6x + -13y + 8y = 0 Combine like terms: 3w + 5w = 8w 8w + 7x + 6x + -13y + 8y = 0 Combine like terms: 7x + 6x = 13x 8w + 13x + -13y + 8y = 0 Combine like terms: -13y + 8y = -5y 8w + 13x + -5y = 0 Solving 8w + 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. 8w + 13x + -13x + -5y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + -5y = 0 + -13x 8w + -5y = 0 + -13x Remove the zero: 8w + -5y = -13x Add '5y' to each side of the equation. 8w + -5y + 5y = -13x + 5y Combine like terms: -5y + 5y = 0 8w + 0 = -13x + 5y 8w = -13x + 5y Divide each side by '8'. w = -1.625x + 0.625y Simplifying w = -1.625x + 0.625y
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