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Simplifying 208 = 2(6w) + 2(8w) + 2(6 * 8) Remove parenthesis around (6w) 208 = 2 * 6w + 2(8w) + 2(6 * 8) Multiply 2 * 6 208 = 12w + 2(8w) + 2(6 * 8) Remove parenthesis around (8w) 208 = 12w + 2 * 8w + 2(6 * 8) Multiply 2 * 8 208 = 12w + 16w + 2(6 * 8) Multiply 6 * 8 208 = 12w + 16w + 2(48) Multiply 2 * 48 208 = 12w + 16w + 96 Reorder the terms: 208 = 96 + 12w + 16w Combine like terms: 12w + 16w = 28w 208 = 96 + 28w Solving 208 = 96 + 28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28w' to each side of the equation. 208 + -28w = 96 + 28w + -28w Combine like terms: 28w + -28w = 0 208 + -28w = 96 + 0 208 + -28w = 96 Add '-208' to each side of the equation. 208 + -208 + -28w = 96 + -208 Combine like terms: 208 + -208 = 0 0 + -28w = 96 + -208 -28w = 96 + -208 Combine like terms: 96 + -208 = -112 -28w = -112 Divide each side by '-28'. w = 4 Simplifying w = 4
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