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Simplifying -8w + 2(w + 3) = 12 Reorder the terms: -8w + 2(3 + w) = 12 -8w + (3 * 2 + w * 2) = 12 -8w + (6 + 2w) = 12 Reorder the terms: 6 + -8w + 2w = 12 Combine like terms: -8w + 2w = -6w 6 + -6w = 12 Solving 6 + -6w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6w = 12 + -6 -6w = 12 + -6 Combine like terms: 12 + -6 = 6 -6w = 6 Divide each side by '-6'. w = -1 Simplifying w = -1
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