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Simplifying 3w + -9 + 2(3w + 5) = -5(w + 1) Reorder the terms: 3w + -9 + 2(5 + 3w) = -5(w + 1) 3w + -9 + (5 * 2 + 3w * 2) = -5(w + 1) 3w + -9 + (10 + 6w) = -5(w + 1) Reorder the terms: -9 + 10 + 3w + 6w = -5(w + 1) Combine like terms: -9 + 10 = 1 1 + 3w + 6w = -5(w + 1) Combine like terms: 3w + 6w = 9w 1 + 9w = -5(w + 1) Reorder the terms: 1 + 9w = -5(1 + w) 1 + 9w = (1 * -5 + w * -5) 1 + 9w = (-5 + -5w) Solving 1 + 9w = -5 + -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. 1 + 9w + 5w = -5 + -5w + 5w Combine like terms: 9w + 5w = 14w 1 + 14w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 1 + 14w = -5 + 0 1 + 14w = -5 Add '-1' to each side of the equation. 1 + -1 + 14w = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 14w = -5 + -1 14w = -5 + -1 Combine like terms: -5 + -1 = -6 14w = -6 Divide each side by '14'. w = -0.4285714286 Simplifying w = -0.4285714286
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