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Simplifying 8w + -30 = 5w + -40 Reorder the terms: -30 + 8w = 5w + -40 Reorder the terms: -30 + 8w = -40 + 5w Solving -30 + 8w = -40 + 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. -30 + 8w + -5w = -40 + 5w + -5w Combine like terms: 8w + -5w = 3w -30 + 3w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 -30 + 3w = -40 + 0 -30 + 3w = -40 Add '30' to each side of the equation. -30 + 30 + 3w = -40 + 30 Combine like terms: -30 + 30 = 0 0 + 3w = -40 + 30 3w = -40 + 30 Combine like terms: -40 + 30 = -10 3w = -10 Divide each side by '3'. w = -3.333333333 Simplifying w = -3.333333333
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