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Simplifying 5w + -7 = w + 1 Reorder the terms: -7 + 5w = w + 1 Reorder the terms: -7 + 5w = 1 + w Solving -7 + 5w = 1 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -7 + 5w + -1w = 1 + w + -1w Combine like terms: 5w + -1w = 4w -7 + 4w = 1 + w + -1w Combine like terms: w + -1w = 0 -7 + 4w = 1 + 0 -7 + 4w = 1 Add '7' to each side of the equation. -7 + 7 + 4w = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4w = 1 + 7 4w = 1 + 7 Combine like terms: 1 + 7 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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