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Simplifying -10 + 3w = 10 + 8w + 10 Reorder the terms: -10 + 3w = 10 + 10 + 8w Combine like terms: 10 + 10 = 20 -10 + 3w = 20 + 8w Solving -10 + 3w = 20 + 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. -10 + 3w + -8w = 20 + 8w + -8w Combine like terms: 3w + -8w = -5w -10 + -5w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 -10 + -5w = 20 + 0 -10 + -5w = 20 Add '10' to each side of the equation. -10 + 10 + -5w = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -5w = 20 + 10 -5w = 20 + 10 Combine like terms: 20 + 10 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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