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Simplifying 2w + -1 = 5w + -5 Reorder the terms: -1 + 2w = 5w + -5 Reorder the terms: -1 + 2w = -5 + 5w Solving -1 + 2w = -5 + 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. -1 + 2w + -5w = -5 + 5w + -5w Combine like terms: 2w + -5w = -3w -1 + -3w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -1 + -3w = -5 + 0 -1 + -3w = -5 Add '1' to each side of the equation. -1 + 1 + -3w = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -3w = -5 + 1 -3w = -5 + 1 Combine like terms: -5 + 1 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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