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Simplifying 34 + 4w = 2(w + -20) Reorder the terms: 34 + 4w = 2(-20 + w) 34 + 4w = (-20 * 2 + w * 2) 34 + 4w = (-40 + 2w) Solving 34 + 4w = -40 + 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 + 4w + -2w = -40 + 2w + -2w Combine like terms: 4w + -2w = 2w 34 + 2w = -40 + 2w + -2w Combine like terms: 2w + -2w = 0 34 + 2w = -40 + 0 34 + 2w = -40 Add '-34' to each side of the equation. 34 + -34 + 2w = -40 + -34 Combine like terms: 34 + -34 = 0 0 + 2w = -40 + -34 2w = -40 + -34 Combine like terms: -40 + -34 = -74 2w = -74 Divide each side by '2'. w = -37 Simplifying w = -37
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