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Simplifying 12 = 2(4w + 1) Reorder the terms: 12 = 2(1 + 4w) 12 = (1 * 2 + 4w * 2) 12 = (2 + 8w) Solving 12 = 2 + 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. 12 + -8w = 2 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -8w = 2 + 0 12 + -8w = 2 Add '-12' to each side of the equation. 12 + -12 + -8w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -8w = 2 + -12 -8w = 2 + -12 Combine like terms: 2 + -12 = -10 -8w = -10 Divide each side by '-8'. w = 1.25 Simplifying w = 1.25
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