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Simplifying (5w + -8) = (4w + 2) Reorder the terms: (-8 + 5w) = (4w + 2) Remove parenthesis around (-8 + 5w) -8 + 5w = (4w + 2) Reorder the terms: -8 + 5w = (2 + 4w) Remove parenthesis around (2 + 4w) -8 + 5w = 2 + 4w Solving -8 + 5w = 2 + 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. -8 + 5w + -4w = 2 + 4w + -4w Combine like terms: 5w + -4w = 1w -8 + 1w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 1w = 2 + 0 -8 + 1w = 2 Add '8' to each side of the equation. -8 + 8 + 1w = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = 2 + 8 1w = 2 + 8 Combine like terms: 2 + 8 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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