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