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Simplifying 8w + -7 = 9 + 4w Reorder the terms: -7 + 8w = 9 + 4w Solving -7 + 8w = 9 + 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. -7 + 8w + -4w = 9 + 4w + -4w Combine like terms: 8w + -4w = 4w -7 + 4w = 9 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 4w = 9 + 0 -7 + 4w = 9 Add '7' to each side of the equation. -7 + 7 + 4w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4w = 9 + 7 4w = 9 + 7 Combine like terms: 9 + 7 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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