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Simplifying -5(w + 2) = 8w + -23 Reorder the terms: -5(2 + w) = 8w + -23 (2 * -5 + w * -5) = 8w + -23 (-10 + -5w) = 8w + -23 Reorder the terms: -10 + -5w = -23 + 8w Solving -10 + -5w = -23 + 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. -10 + -5w + -8w = -23 + 8w + -8w Combine like terms: -5w + -8w = -13w -10 + -13w = -23 + 8w + -8w Combine like terms: 8w + -8w = 0 -10 + -13w = -23 + 0 -10 + -13w = -23 Add '10' to each side of the equation. -10 + 10 + -13w = -23 + 10 Combine like terms: -10 + 10 = 0 0 + -13w = -23 + 10 -13w = -23 + 10 Combine like terms: -23 + 10 = -13 -13w = -13 Divide each side by '-13'. w = 1 Simplifying w = 1
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