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Simplifying 34 = 2(w + 4) + -2 Reorder the terms: 34 = 2(4 + w) + -2 34 = (4 * 2 + w * 2) + -2 34 = (8 + 2w) + -2 Reorder the terms: 34 = 8 + -2 + 2w Combine like terms: 8 + -2 = 6 34 = 6 + 2w Solving 34 = 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. 34 + -2w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 34 + -2w = 6 + 0 34 + -2w = 6 Add '-34' to each side of the equation. 34 + -34 + -2w = 6 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 6 + -34 -2w = 6 + -34 Combine like terms: 6 + -34 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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