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Simplifying 5w + 2 + -5 = 2w + 5 Reorder the terms: 2 + -5 + 5w = 2w + 5 Combine like terms: 2 + -5 = -3 -3 + 5w = 2w + 5 Reorder the terms: -3 + 5w = 5 + 2w Solving -3 + 5w = 5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -3 + 5w + -2w = 5 + 2w + -2w Combine like terms: 5w + -2w = 3w -3 + 3w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 3w = 5 + 0 -3 + 3w = 5 Add '3' to each side of the equation. -3 + 3 + 3w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 5 + 3 3w = 5 + 3 Combine like terms: 5 + 3 = 8 3w = 8 Divide each side by '3'. w = 2.666666667 Simplifying w = 2.666666667
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