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Simplifying -5w + 8 = 3w + -8 Reorder the terms: 8 + -5w = 3w + -8 Reorder the terms: 8 + -5w = -8 + 3w Solving 8 + -5w = -8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 8 + -5w + -3w = -8 + 3w + -3w Combine like terms: -5w + -3w = -8w 8 + -8w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -8w = -8 + 0 8 + -8w = -8 Add '-8' to each side of the equation. 8 + -8 + -8w = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -8w = -8 + -8 -8w = -8 + -8 Combine like terms: -8 + -8 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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