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Simplifying -34 = 2w + 2(w + -7) Reorder the terms: -34 = 2w + 2(-7 + w) -34 = 2w + (-7 * 2 + w * 2) -34 = 2w + (-14 + 2w) Reorder the terms: -34 = -14 + 2w + 2w Combine like terms: 2w + 2w = 4w -34 = -14 + 4w Solving -34 = -14 + 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 + -4w = -14 + 4w + -4w Combine like terms: 4w + -4w = 0 -34 + -4w = -14 + 0 -34 + -4w = -14 Add '34' to each side of the equation. -34 + 34 + -4w = -14 + 34 Combine like terms: -34 + 34 = 0 0 + -4w = -14 + 34 -4w = -14 + 34 Combine like terms: -14 + 34 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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