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Simplifying 5w + 13 = 8w + 16 Reorder the terms: 13 + 5w = 8w + 16 Reorder the terms: 13 + 5w = 16 + 8w Solving 13 + 5w = 16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 13 + 5w + -8w = 16 + 8w + -8w Combine like terms: 5w + -8w = -3w 13 + -3w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 13 + -3w = 16 + 0 13 + -3w = 16 Add '-13' to each side of the equation. 13 + -13 + -3w = 16 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = 16 + -13 -3w = 16 + -13 Combine like terms: 16 + -13 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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