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Simplifying 5w + 2(w + -3) = -34 Reorder the terms: 5w + 2(-3 + w) = -34 5w + (-3 * 2 + w * 2) = -34 5w + (-6 + 2w) = -34 Reorder the terms: -6 + 5w + 2w = -34 Combine like terms: 5w + 2w = 7w -6 + 7w = -34 Solving -6 + 7w = -34 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 + 7w = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 7w = -34 + 6 7w = -34 + 6 Combine like terms: -34 + 6 = -28 7w = -28 Divide each side by '7'. w = -4 Simplifying w = -4
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