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Simplifying 5w + -1 = 7w + -5 Reorder the terms: -1 + 5w = 7w + -5 Reorder the terms: -1 + 5w = -5 + 7w Solving -1 + 5w = -5 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -1 + 5w + -7w = -5 + 7w + -7w Combine like terms: 5w + -7w = -2w -1 + -2w = -5 + 7w + -7w Combine like terms: 7w + -7w = 0 -1 + -2w = -5 + 0 -1 + -2w = -5 Add '1' to each side of the equation. -1 + 1 + -2w = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = -5 + 1 -2w = -5 + 1 Combine like terms: -5 + 1 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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