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Simplifying -9 = 8w + 5(w + 6) Reorder the terms: -9 = 8w + 5(6 + w) -9 = 8w + (6 * 5 + w * 5) -9 = 8w + (30 + 5w) Reorder the terms: -9 = 30 + 8w + 5w Combine like terms: 8w + 5w = 13w -9 = 30 + 13w Solving -9 = 30 + 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 + -13w = 30 + 13w + -13w Combine like terms: 13w + -13w = 0 -9 + -13w = 30 + 0 -9 + -13w = 30 Add '9' to each side of the equation. -9 + 9 + -13w = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -13w = 30 + 9 -13w = 30 + 9 Combine like terms: 30 + 9 = 39 -13w = 39 Divide each side by '-13'. w = -3 Simplifying w = -3
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