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Simplifying 3w + 9 = 4w + 1 Reorder the terms: 9 + 3w = 4w + 1 Reorder the terms: 9 + 3w = 1 + 4w Solving 9 + 3w = 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 + 3w + -4w = 1 + 4w + -4w Combine like terms: 3w + -4w = -1w 9 + -1w = 1 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -1w = 1 + 0 9 + -1w = 1 Add '-9' to each side of the equation. 9 + -9 + -1w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 1 + -9 -1w = 1 + -9 Combine like terms: 1 + -9 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8
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