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Simplifying 12w + -47 = 8w + 1 Reorder the terms: -47 + 12w = 8w + 1 Reorder the terms: -47 + 12w = 1 + 8w Solving -47 + 12w = 1 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -47 + 12w + -8w = 1 + 8w + -8w Combine like terms: 12w + -8w = 4w -47 + 4w = 1 + 8w + -8w Combine like terms: 8w + -8w = 0 -47 + 4w = 1 + 0 -47 + 4w = 1 Add '47' to each side of the equation. -47 + 47 + 4w = 1 + 47 Combine like terms: -47 + 47 = 0 0 + 4w = 1 + 47 4w = 1 + 47 Combine like terms: 1 + 47 = 48 4w = 48 Divide each side by '4'. w = 12 Simplifying w = 12
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