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Simplifying 5w + 21 = 8w + -30 Reorder the terms: 21 + 5w = 8w + -30 Reorder the terms: 21 + 5w = -30 + 8w Solving 21 + 5w = -30 + 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. 21 + 5w + -8w = -30 + 8w + -8w Combine like terms: 5w + -8w = -3w 21 + -3w = -30 + 8w + -8w Combine like terms: 8w + -8w = 0 21 + -3w = -30 + 0 21 + -3w = -30 Add '-21' to each side of the equation. 21 + -21 + -3w = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = -30 + -21 -3w = -30 + -21 Combine like terms: -30 + -21 = -51 -3w = -51 Divide each side by '-3'. w = 17 Simplifying w = 17
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