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Simplifying 2w + 5 + 2(2w + 5) = 3 Reorder the terms: 2w + 5 + 2(5 + 2w) = 3 2w + 5 + (5 * 2 + 2w * 2) = 3 2w + 5 + (10 + 4w) = 3 Reorder the terms: 5 + 10 + 2w + 4w = 3 Combine like terms: 5 + 10 = 15 15 + 2w + 4w = 3 Combine like terms: 2w + 4w = 6w 15 + 6w = 3 Solving 15 + 6w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6w = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 3 + -15 6w = 3 + -15 Combine like terms: 3 + -15 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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