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Simplifying 5w + 1 = w + -7 Reorder the terms: 1 + 5w = w + -7 Reorder the terms: 1 + 5w = -7 + w Solving 1 + 5w = -7 + 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. 1 + 5w + -1w = -7 + w + -1w Combine like terms: 5w + -1w = 4w 1 + 4w = -7 + w + -1w Combine like terms: w + -1w = 0 1 + 4w = -7 + 0 1 + 4w = -7 Add '-1' to each side of the equation. 1 + -1 + 4w = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4w = -7 + -1 4w = -7 + -1 Combine like terms: -7 + -1 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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