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Simplifying 3(w + 2) = (12 + -1w) Reorder the terms: 3(2 + w) = (12 + -1w) (2 * 3 + w * 3) = (12 + -1w) (6 + 3w) = (12 + -1w) Remove parenthesis around (12 + -1w) 6 + 3w = 12 + -1w Solving 6 + 3w = 12 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 6 + 3w + w = 12 + -1w + w Combine like terms: 3w + w = 4w 6 + 4w = 12 + -1w + w Combine like terms: -1w + w = 0 6 + 4w = 12 + 0 6 + 4w = 12 Add '-6' to each side of the equation. 6 + -6 + 4w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 4w = 12 + -6 4w = 12 + -6 Combine like terms: 12 + -6 = 6 4w = 6 Divide each side by '4'. w = 1.5 Simplifying w = 1.5
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