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Simplifying 8w + -9 = 13w + 21 Reorder the terms: -9 + 8w = 13w + 21 Reorder the terms: -9 + 8w = 21 + 13w Solving -9 + 8w = 21 + 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. -9 + 8w + -13w = 21 + 13w + -13w Combine like terms: 8w + -13w = -5w -9 + -5w = 21 + 13w + -13w Combine like terms: 13w + -13w = 0 -9 + -5w = 21 + 0 -9 + -5w = 21 Add '9' to each side of the equation. -9 + 9 + -5w = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = 21 + 9 -5w = 21 + 9 Combine like terms: 21 + 9 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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