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