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Simplifying 5(w + 8) = -7(2w + -6) + 9w Reorder the terms: 5(8 + w) = -7(2w + -6) + 9w (8 * 5 + w * 5) = -7(2w + -6) + 9w (40 + 5w) = -7(2w + -6) + 9w Reorder the terms: 40 + 5w = -7(-6 + 2w) + 9w 40 + 5w = (-6 * -7 + 2w * -7) + 9w 40 + 5w = (42 + -14w) + 9w Combine like terms: -14w + 9w = -5w 40 + 5w = 42 + -5w Solving 40 + 5w = 42 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 40 + 5w + 5w = 42 + -5w + 5w Combine like terms: 5w + 5w = 10w 40 + 10w = 42 + -5w + 5w Combine like terms: -5w + 5w = 0 40 + 10w = 42 + 0 40 + 10w = 42 Add '-40' to each side of the equation. 40 + -40 + 10w = 42 + -40 Combine like terms: 40 + -40 = 0 0 + 10w = 42 + -40 10w = 42 + -40 Combine like terms: 42 + -40 = 2 10w = 2 Divide each side by '10'. w = 0.2 Simplifying w = 0.2
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