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Simplifying 21w + -27 = 13w + 13 Reorder the terms: -27 + 21w = 13w + 13 Reorder the terms: -27 + 21w = 13 + 13w Solving -27 + 21w = 13 + 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. -27 + 21w + -13w = 13 + 13w + -13w Combine like terms: 21w + -13w = 8w -27 + 8w = 13 + 13w + -13w Combine like terms: 13w + -13w = 0 -27 + 8w = 13 + 0 -27 + 8w = 13 Add '27' to each side of the equation. -27 + 27 + 8w = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 8w = 13 + 27 8w = 13 + 27 Combine like terms: 13 + 27 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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