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Simplifying 5(1 + w) + 3 = 26 + 3 (1 * 5 + w * 5) + 3 = 26 + 3 (5 + 5w) + 3 = 26 + 3 Reorder the terms: 5 + 3 + 5w = 26 + 3 Combine like terms: 5 + 3 = 8 8 + 5w = 26 + 3 Combine like terms: 26 + 3 = 29 8 + 5w = 29 Solving 8 + 5w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5w = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 29 + -8 5w = 29 + -8 Combine like terms: 29 + -8 = 21 5w = 21 Divide each side by '5'. w = 4.2 Simplifying w = 4.2
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