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Simplifying 2(w + 7) + -4w = 12 Reorder the terms: 2(7 + w) + -4w = 12 (7 * 2 + w * 2) + -4w = 12 (14 + 2w) + -4w = 12 Combine like terms: 2w + -4w = -2w 14 + -2w = 12 Solving 14 + -2w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2w = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = 12 + -14 -2w = 12 + -14 Combine like terms: 12 + -14 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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