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Simplifying 7w + -7 = 2w + 1 Reorder the terms: -7 + 7w = 2w + 1 Reorder the terms: -7 + 7w = 1 + 2w Solving -7 + 7w = 1 + 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. -7 + 7w + -2w = 1 + 2w + -2w Combine like terms: 7w + -2w = 5w -7 + 5w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 5w = 1 + 0 -7 + 5w = 1 Add '7' to each side of the equation. -7 + 7 + 5w = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = 1 + 7 5w = 1 + 7 Combine like terms: 1 + 7 = 8 5w = 8 Divide each side by '5'. w = 1.6 Simplifying w = 1.6
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