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Simplifying 2(w + 4) + 3w = -37 Reorder the terms: 2(4 + w) + 3w = -37 (4 * 2 + w * 2) + 3w = -37 (8 + 2w) + 3w = -37 Combine like terms: 2w + 3w = 5w 8 + 5w = -37 Solving 8 + 5w = -37 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = -37 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = -37 + -8 5w = -37 + -8 Combine like terms: -37 + -8 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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