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Simplifying 2w + 34 = -2(w + 3) Reorder the terms: 34 + 2w = -2(w + 3) Reorder the terms: 34 + 2w = -2(3 + w) 34 + 2w = (3 * -2 + w * -2) 34 + 2w = (-6 + -2w) Solving 34 + 2w = -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 + 2w = -6 + -2w + 2w Combine like terms: 2w + 2w = 4w 34 + 4w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 34 + 4w = -6 + 0 34 + 4w = -6 Add '-34' to each side of the equation. 34 + -34 + 4w = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 4w = -6 + -34 4w = -6 + -34 Combine like terms: -6 + -34 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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