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Simplifying 5w + 16 = 8w + -14 Reorder the terms: 16 + 5w = 8w + -14 Reorder the terms: 16 + 5w = -14 + 8w Solving 16 + 5w = -14 + 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. 16 + 5w + -8w = -14 + 8w + -8w Combine like terms: 5w + -8w = -3w 16 + -3w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 16 + -3w = -14 + 0 16 + -3w = -14 Add '-16' to each side of the equation. 16 + -16 + -3w = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -3w = -14 + -16 -3w = -14 + -16 Combine like terms: -14 + -16 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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