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Simplifying -8w + -11 = 5(w + 3) Reorder the terms: -11 + -8w = 5(w + 3) Reorder the terms: -11 + -8w = 5(3 + w) -11 + -8w = (3 * 5 + w * 5) -11 + -8w = (15 + 5w) Solving -11 + -8w = 15 + 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. -11 + -8w + -5w = 15 + 5w + -5w Combine like terms: -8w + -5w = -13w -11 + -13w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 -11 + -13w = 15 + 0 -11 + -13w = 15 Add '11' to each side of the equation. -11 + 11 + -13w = 15 + 11 Combine like terms: -11 + 11 = 0 0 + -13w = 15 + 11 -13w = 15 + 11 Combine like terms: 15 + 11 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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