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Simplifying 5w + 7 = -3w + 23 Reorder the terms: 7 + 5w = -3w + 23 Reorder the terms: 7 + 5w = 23 + -3w Solving 7 + 5w = 23 + -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. 7 + 5w + 3w = 23 + -3w + 3w Combine like terms: 5w + 3w = 8w 7 + 8w = 23 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 8w = 23 + 0 7 + 8w = 23 Add '-7' to each side of the equation. 7 + -7 + 8w = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 8w = 23 + -7 8w = 23 + -7 Combine like terms: 23 + -7 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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