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Simplifying 2w + 34 = 4(w + 5) Reorder the terms: 34 + 2w = 4(w + 5) Reorder the terms: 34 + 2w = 4(5 + w) 34 + 2w = (5 * 4 + w * 4) 34 + 2w = (20 + 4w) Solving 34 + 2w = 20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 34 + 2w + -4w = 20 + 4w + -4w Combine like terms: 2w + -4w = -2w 34 + -2w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 34 + -2w = 20 + 0 34 + -2w = 20 Add '-34' to each side of the equation. 34 + -34 + -2w = 20 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 20 + -34 -2w = 20 + -34 Combine like terms: 20 + -34 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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