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Simplifying 5w + 3 = 21 + -7w Reorder the terms: 3 + 5w = 21 + -7w Solving 3 + 5w = 21 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 3 + 5w + 7w = 21 + -7w + 7w Combine like terms: 5w + 7w = 12w 3 + 12w = 21 + -7w + 7w Combine like terms: -7w + 7w = 0 3 + 12w = 21 + 0 3 + 12w = 21 Add '-3' to each side of the equation. 3 + -3 + 12w = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = 21 + -3 12w = 21 + -3 Combine like terms: 21 + -3 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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