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Simplifying 100 = 2(2 + 3w) + 2w 100 = (2 * 2 + 3w * 2) + 2w 100 = (4 + 6w) + 2w Combine like terms: 6w + 2w = 8w 100 = 4 + 8w Solving 100 = 4 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 100 + -8w = 4 + 8w + -8w Combine like terms: 8w + -8w = 0 100 + -8w = 4 + 0 100 + -8w = 4 Add '-100' to each side of the equation. 100 + -100 + -8w = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -8w = 4 + -100 -8w = 4 + -100 Combine like terms: 4 + -100 = -96 -8w = -96 Divide each side by '-8'. w = 12 Simplifying w = 12
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