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Simplifying 16w + 36 = 13w + 42 Reorder the terms: 36 + 16w = 13w + 42 Reorder the terms: 36 + 16w = 42 + 13w Solving 36 + 16w = 42 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 36 + 16w + -13w = 42 + 13w + -13w Combine like terms: 16w + -13w = 3w 36 + 3w = 42 + 13w + -13w Combine like terms: 13w + -13w = 0 36 + 3w = 42 + 0 36 + 3w = 42 Add '-36' to each side of the equation. 36 + -36 + 3w = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 42 + -36 3w = 42 + -36 Combine like terms: 42 + -36 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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