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Simplifying 3(w + 6) = 5w + 4 Reorder the terms: 3(6 + w) = 5w + 4 (6 * 3 + w * 3) = 5w + 4 (18 + 3w) = 5w + 4 Reorder the terms: 18 + 3w = 4 + 5w Solving 18 + 3w = 4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 18 + 3w + -5w = 4 + 5w + -5w Combine like terms: 3w + -5w = -2w 18 + -2w = 4 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -2w = 4 + 0 18 + -2w = 4 Add '-18' to each side of the equation. 18 + -18 + -2w = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 4 + -18 -2w = 4 + -18 Combine like terms: 4 + -18 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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