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Simplifying 47 = 5w + 12 Reorder the terms: 47 = 12 + 5w Solving 47 = 12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 47 + -5w = 12 + 5w + -5w Combine like terms: 5w + -5w = 0 47 + -5w = 12 + 0 47 + -5w = 12 Add '-47' to each side of the equation. 47 + -47 + -5w = 12 + -47 Combine like terms: 47 + -47 = 0 0 + -5w = 12 + -47 -5w = 12 + -47 Combine like terms: 12 + -47 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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