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Simplifying 5w + -8 = 13w + 27 Reorder the terms: -8 + 5w = 13w + 27 Reorder the terms: -8 + 5w = 27 + 13w Solving -8 + 5w = 27 + 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. -8 + 5w + -13w = 27 + 13w + -13w Combine like terms: 5w + -13w = -8w -8 + -8w = 27 + 13w + -13w Combine like terms: 13w + -13w = 0 -8 + -8w = 27 + 0 -8 + -8w = 27 Add '8' to each side of the equation. -8 + 8 + -8w = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -8w = 27 + 8 -8w = 27 + 8 Combine like terms: 27 + 8 = 35 -8w = 35 Divide each side by '-8'. w = -4.375 Simplifying w = -4.375
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