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Simplifying 8w + 12 = 2(w + 3) Reorder the terms: 12 + 8w = 2(w + 3) Reorder the terms: 12 + 8w = 2(3 + w) 12 + 8w = (3 * 2 + w * 2) 12 + 8w = (6 + 2w) Solving 12 + 8w = 6 + 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 = 6 + 2w + -2w Combine like terms: 8w + -2w = 6w 12 + 6w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 6w = 6 + 0 12 + 6w = 6 Add '-12' to each side of the equation. 12 + -12 + 6w = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 6 + -12 6w = 6 + -12 Combine like terms: 6 + -12 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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