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Simplifying -5w + 13 = 29 + 3w Reorder the terms: 13 + -5w = 29 + 3w Solving 13 + -5w = 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. 13 + -5w + -3w = 29 + 3w + -3w Combine like terms: -5w + -3w = -8w 13 + -8w = 29 + 3w + -3w Combine like terms: 3w + -3w = 0 13 + -8w = 29 + 0 13 + -8w = 29 Add '-13' to each side of the equation. 13 + -13 + -8w = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -8w = 29 + -13 -8w = 29 + -13 Combine like terms: 29 + -13 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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