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Simplifying 4(2w + 1) + -6w = 16 Reorder the terms: 4(1 + 2w) + -6w = 16 (1 * 4 + 2w * 4) + -6w = 16 (4 + 8w) + -6w = 16 Combine like terms: 8w + -6w = 2w 4 + 2w = 16 Solving 4 + 2w = 16 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2w = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 16 + -4 2w = 16 + -4 Combine like terms: 16 + -4 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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