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Simplifying 2w + -5 = 5w + -7 Reorder the terms: -5 + 2w = 5w + -7 Reorder the terms: -5 + 2w = -7 + 5w Solving -5 + 2w = -7 + 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. -5 + 2w + -5w = -7 + 5w + -5w Combine like terms: 2w + -5w = -3w -5 + -3w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + -3w = -7 + 0 -5 + -3w = -7 Add '5' to each side of the equation. -5 + 5 + -3w = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = -7 + 5 -3w = -7 + 5 Combine like terms: -7 + 5 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667
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