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Simplifying 2(w + 2) = 3(2w + 4) Reorder the terms: 2(2 + w) = 3(2w + 4) (2 * 2 + w * 2) = 3(2w + 4) (4 + 2w) = 3(2w + 4) Reorder the terms: 4 + 2w = 3(4 + 2w) 4 + 2w = (4 * 3 + 2w * 3) 4 + 2w = (12 + 6w) Solving 4 + 2w = 12 + 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. 4 + 2w + -6w = 12 + 6w + -6w Combine like terms: 2w + -6w = -4w 4 + -4w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -4w = 12 + 0 4 + -4w = 12 Add '-4' to each side of the equation. 4 + -4 + -4w = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 12 + -4 -4w = 12 + -4 Combine like terms: 12 + -4 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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