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Simplifying 8w + 12 = 3(2w + -8) Reorder the terms: 12 + 8w = 3(2w + -8) Reorder the terms: 12 + 8w = 3(-8 + 2w) 12 + 8w = (-8 * 3 + 2w * 3) 12 + 8w = (-24 + 6w) Solving 12 + 8w = -24 + 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. 12 + 8w + -6w = -24 + 6w + -6w Combine like terms: 8w + -6w = 2w 12 + 2w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + 2w = -24 + 0 12 + 2w = -24 Add '-12' to each side of the equation. 12 + -12 + 2w = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -24 + -12 2w = -24 + -12 Combine like terms: -24 + -12 = -36 2w = -36 Divide each side by '2'. w = -18 Simplifying w = -18
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