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Simplifying -1 + -10 + 15w + -30 = 5w + 20 Reorder the terms: -1 + -10 + -30 + 15w = 5w + 20 Combine like terms: -1 + -10 = -11 -11 + -30 + 15w = 5w + 20 Combine like terms: -11 + -30 = -41 -41 + 15w = 5w + 20 Reorder the terms: -41 + 15w = 20 + 5w Solving -41 + 15w = 20 + 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. -41 + 15w + -5w = 20 + 5w + -5w Combine like terms: 15w + -5w = 10w -41 + 10w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -41 + 10w = 20 + 0 -41 + 10w = 20 Add '41' to each side of the equation. -41 + 41 + 10w = 20 + 41 Combine like terms: -41 + 41 = 0 0 + 10w = 20 + 41 10w = 20 + 41 Combine like terms: 20 + 41 = 61 10w = 61 Divide each side by '10'. w = 6.1 Simplifying w = 6.1
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