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Simplifying -8w + 9 = -4w + 1 Reorder the terms: 9 + -8w = -4w + 1 Reorder the terms: 9 + -8w = 1 + -4w Solving 9 + -8w = 1 + -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. 9 + -8w + 4w = 1 + -4w + 4w Combine like terms: -8w + 4w = -4w 9 + -4w = 1 + -4w + 4w Combine like terms: -4w + 4w = 0 9 + -4w = 1 + 0 9 + -4w = 1 Add '-9' to each side of the equation. 9 + -9 + -4w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = 1 + -9 -4w = 1 + -9 Combine like terms: 1 + -9 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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