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Simplifying 102 = 6(3w + 2) Reorder the terms: 102 = 6(2 + 3w) 102 = (2 * 6 + 3w * 6) 102 = (12 + 18w) Solving 102 = 12 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 102 + -18w = 12 + 18w + -18w Combine like terms: 18w + -18w = 0 102 + -18w = 12 + 0 102 + -18w = 12 Add '-102' to each side of the equation. 102 + -102 + -18w = 12 + -102 Combine like terms: 102 + -102 = 0 0 + -18w = 12 + -102 -18w = 12 + -102 Combine like terms: 12 + -102 = -90 -18w = -90 Divide each side by '-18'. w = 5 Simplifying w = 5
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