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Simplifying 8w + -5 = 4w + 7 Reorder the terms: -5 + 8w = 4w + 7 Reorder the terms: -5 + 8w = 7 + 4w Solving -5 + 8w = 7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -5 + 8w + -4w = 7 + 4w + -4w Combine like terms: 8w + -4w = 4w -5 + 4w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 -5 + 4w = 7 + 0 -5 + 4w = 7 Add '5' to each side of the equation. -5 + 5 + 4w = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4w = 7 + 5 4w = 7 + 5 Combine like terms: 7 + 5 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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