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Simplifying 12 = 2(w + 5) Reorder the terms: 12 = 2(5 + w) 12 = (5 * 2 + w * 2) 12 = (10 + 2w) Solving 12 = 10 + 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 + -2w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + -2w = 10 + 0 12 + -2w = 10 Add '-12' to each side of the equation. 12 + -12 + -2w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 10 + -12 -2w = 10 + -12 Combine like terms: 10 + -12 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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