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Simplifying 3(w + 4) = 27 + -2w Reorder the terms: 3(4 + w) = 27 + -2w (4 * 3 + w * 3) = 27 + -2w (12 + 3w) = 27 + -2w Solving 12 + 3w = 27 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 12 + 3w + 2w = 27 + -2w + 2w Combine like terms: 3w + 2w = 5w 12 + 5w = 27 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 5w = 27 + 0 12 + 5w = 27 Add '-12' to each side of the equation. 12 + -12 + 5w = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 27 + -12 5w = 27 + -12 Combine like terms: 27 + -12 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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