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Simplifying 5w + 13 = (w + -1) Reorder the terms: 13 + 5w = (w + -1) Reorder the terms: 13 + 5w = (-1 + w) Remove parenthesis around (-1 + w) 13 + 5w = -1 + w Solving 13 + 5w = -1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 13 + 5w + -1w = -1 + w + -1w Combine like terms: 5w + -1w = 4w 13 + 4w = -1 + w + -1w Combine like terms: w + -1w = 0 13 + 4w = -1 + 0 13 + 4w = -1 Add '-13' to each side of the equation. 13 + -13 + 4w = -1 + -13 Combine like terms: 13 + -13 = 0 0 + 4w = -1 + -13 4w = -1 + -13 Combine like terms: -1 + -13 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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