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Simplifying 5 = 3 + 2(4w + 1) Reorder the terms: 5 = 3 + 2(1 + 4w) 5 = 3 + (1 * 2 + 4w * 2) 5 = 3 + (2 + 8w) Combine like terms: 3 + 2 = 5 5 = 5 + 8w Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + 8w Combine like terms: 5 + -5 = 0 0 = 5 + -5 + 8w Combine like terms: 5 + -5 = 0 0 = 0 + 8w 0 = 8w Solving 0 = 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. 0 + -8w = 8w + -8w Remove the zero: -8w = 8w + -8w Combine like terms: 8w + -8w = 0 -8w = 0 Divide each side by '-8'. w = 0 Simplifying w = 0
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