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Simplifying 2(w + 5) + 4w = 32 Reorder the terms: 2(5 + w) + 4w = 32 (5 * 2 + w * 2) + 4w = 32 (10 + 2w) + 4w = 32 Combine like terms: 2w + 4w = 6w 10 + 6w = 32 Solving 10 + 6w = 32 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 + 6w = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 32 + -10 6w = 32 + -10 Combine like terms: 32 + -10 = 22 6w = 22 Divide each side by '6'. w = 3.666666667 Simplifying w = 3.666666667
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