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Simplifying 1 + w = 29 + -3w Solving 1 + w = 29 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 1 + w + 3w = 29 + -3w + 3w Combine like terms: w + 3w = 4w 1 + 4w = 29 + -3w + 3w Combine like terms: -3w + 3w = 0 1 + 4w = 29 + 0 1 + 4w = 29 Add '-1' to each side of the equation. 1 + -1 + 4w = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = 29 + -1 4w = 29 + -1 Combine like terms: 29 + -1 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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