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Simplifying 5w + -86 = 4w + -56 Reorder the terms: -86 + 5w = 4w + -56 Reorder the terms: -86 + 5w = -56 + 4w Solving -86 + 5w = -56 + 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. -86 + 5w + -4w = -56 + 4w + -4w Combine like terms: 5w + -4w = 1w -86 + 1w = -56 + 4w + -4w Combine like terms: 4w + -4w = 0 -86 + 1w = -56 + 0 -86 + 1w = -56 Add '86' to each side of the equation. -86 + 86 + 1w = -56 + 86 Combine like terms: -86 + 86 = 0 0 + 1w = -56 + 86 1w = -56 + 86 Combine like terms: -56 + 86 = 30 1w = 30 Divide each side by '1'. w = 30 Simplifying w = 30
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