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Simplifying 34 = 4w + -14 Reorder the terms: 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 = -48 -4w = -48 Divide each side by '-4'. w = 12 Simplifying w = 12
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