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Simplifying 6w + -47 = w + 18 Reorder the terms: -47 + 6w = w + 18 Reorder the terms: -47 + 6w = 18 + w Solving -47 + 6w = 18 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -47 + 6w + -1w = 18 + w + -1w Combine like terms: 6w + -1w = 5w -47 + 5w = 18 + w + -1w Combine like terms: w + -1w = 0 -47 + 5w = 18 + 0 -47 + 5w = 18 Add '47' to each side of the equation. -47 + 47 + 5w = 18 + 47 Combine like terms: -47 + 47 = 0 0 + 5w = 18 + 47 5w = 18 + 47 Combine like terms: 18 + 47 = 65 5w = 65 Divide each side by '5'. w = 13 Simplifying w = 13
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