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Simplifying 3(2w + 4) = 12w + -12 Reorder the terms: 3(4 + 2w) = 12w + -12 (4 * 3 + 2w * 3) = 12w + -12 (12 + 6w) = 12w + -12 Reorder the terms: 12 + 6w = -12 + 12w Solving 12 + 6w = -12 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 12 + 6w + -12w = -12 + 12w + -12w Combine like terms: 6w + -12w = -6w 12 + -6w = -12 + 12w + -12w Combine like terms: 12w + -12w = 0 12 + -6w = -12 + 0 12 + -6w = -12 Add '-12' to each side of the equation. 12 + -12 + -6w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = -12 + -12 -6w = -12 + -12 Combine like terms: -12 + -12 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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