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Simplifying 7w + 5(w + -2) = -34 Reorder the terms: 7w + 5(-2 + w) = -34 7w + (-2 * 5 + w * 5) = -34 7w + (-10 + 5w) = -34 Reorder the terms: -10 + 7w + 5w = -34 Combine like terms: 7w + 5w = 12w -10 + 12w = -34 Solving -10 + 12w = -34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12w = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 12w = -34 + 10 12w = -34 + 10 Combine like terms: -34 + 10 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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