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Simplifying 3w + -2 = 8w + -17 Reorder the terms: -2 + 3w = 8w + -17 Reorder the terms: -2 + 3w = -17 + 8w Solving -2 + 3w = -17 + 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. -2 + 3w + -8w = -17 + 8w + -8w Combine like terms: 3w + -8w = -5w -2 + -5w = -17 + 8w + -8w Combine like terms: 8w + -8w = 0 -2 + -5w = -17 + 0 -2 + -5w = -17 Add '2' to each side of the equation. -2 + 2 + -5w = -17 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = -17 + 2 -5w = -17 + 2 Combine like terms: -17 + 2 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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