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Simplifying 6(w + 1) + 5w = 0 Reorder the terms: 6(1 + w) + 5w = 0 (1 * 6 + w * 6) + 5w = 0 (6 + 6w) + 5w = 0 Combine like terms: 6w + 5w = 11w 6 + 11w = 0 Solving 6 + 11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11w = 0 + -6 11w = 0 + -6 Combine like terms: 0 + -6 = -6 11w = -6 Divide each side by '11'. w = -0.5454545455 Simplifying w = -0.5454545455
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