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Simplifying 8(12 + 2w) + 2(6w) = 208 (12 * 8 + 2w * 8) + 2(6w) = 208 (96 + 16w) + 2(6w) = 208 Remove parenthesis around (6w) 96 + 16w + 2 * 6w = 208 Multiply 2 * 6 96 + 16w + 12w = 208 Combine like terms: 16w + 12w = 28w 96 + 28w = 208 Solving 96 + 28w = 208 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 28w = 208 + -96 Combine like terms: 96 + -96 = 0 0 + 28w = 208 + -96 28w = 208 + -96 Combine like terms: 208 + -96 = 112 28w = 112 Divide each side by '28'. w = 4 Simplifying w = 4
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