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Simplifying -8w + 34 = 5w + -18 Reorder the terms: 34 + -8w = 5w + -18 Reorder the terms: 34 + -8w = -18 + 5w Solving 34 + -8w = -18 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 34 + -8w + -5w = -18 + 5w + -5w Combine like terms: -8w + -5w = -13w 34 + -13w = -18 + 5w + -5w Combine like terms: 5w + -5w = 0 34 + -13w = -18 + 0 34 + -13w = -18 Add '-34' to each side of the equation. 34 + -34 + -13w = -18 + -34 Combine like terms: 34 + -34 = 0 0 + -13w = -18 + -34 -13w = -18 + -34 Combine like terms: -18 + -34 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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