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Simplifying 27 = 3(2w + 1) Reorder the terms: 27 = 3(1 + 2w) 27 = (1 * 3 + 2w * 3) 27 = (3 + 6w) Solving 27 = 3 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 27 + -6w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 27 + -6w = 3 + 0 27 + -6w = 3 Add '-27' to each side of the equation. 27 + -27 + -6w = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -6w = 3 + -27 -6w = 3 + -27 Combine like terms: 3 + -27 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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