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Simplifying 3w + -9 = 8(w + 2) Reorder the terms: -9 + 3w = 8(w + 2) Reorder the terms: -9 + 3w = 8(2 + w) -9 + 3w = (2 * 8 + w * 8) -9 + 3w = (16 + 8w) Solving -9 + 3w = 16 + 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. -9 + 3w + -8w = 16 + 8w + -8w Combine like terms: 3w + -8w = -5w -9 + -5w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 -9 + -5w = 16 + 0 -9 + -5w = 16 Add '9' to each side of the equation. -9 + 9 + -5w = 16 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = 16 + 9 -5w = 16 + 9 Combine like terms: 16 + 9 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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