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