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Simplifying 5w + 5 = -3w + 21 Reorder the terms: 5 + 5w = -3w + 21 Reorder the terms: 5 + 5w = 21 + -3w Solving 5 + 5w = 21 + -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. 5 + 5w + 3w = 21 + -3w + 3w Combine like terms: 5w + 3w = 8w 5 + 8w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 5 + 8w = 21 + 0 5 + 8w = 21 Add '-5' to each side of the equation. 5 + -5 + 8w = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = 21 + -5 8w = 21 + -5 Combine like terms: 21 + -5 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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