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