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Simplifying -8w + -1 = 5(w + 5) Reorder the terms: -1 + -8w = 5(w + 5) Reorder the terms: -1 + -8w = 5(5 + w) -1 + -8w = (5 * 5 + w * 5) -1 + -8w = (25 + 5w) Solving -1 + -8w = 25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -1 + -8w + -5w = 25 + 5w + -5w Combine like terms: -8w + -5w = -13w -1 + -13w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -13w = 25 + 0 -1 + -13w = 25 Add '1' to each side of the equation. -1 + 1 + -13w = 25 + 1 Combine like terms: -1 + 1 = 0 0 + -13w = 25 + 1 -13w = 25 + 1 Combine like terms: 25 + 1 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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