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Simplifying 5w + -6 + 4w = w + -30 Reorder the terms: -6 + 5w + 4w = w + -30 Combine like terms: 5w + 4w = 9w -6 + 9w = w + -30 Reorder the terms: -6 + 9w = -30 + w Solving -6 + 9w = -30 + 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. -6 + 9w + -1w = -30 + w + -1w Combine like terms: 9w + -1w = 8w -6 + 8w = -30 + w + -1w Combine like terms: w + -1w = 0 -6 + 8w = -30 + 0 -6 + 8w = -30 Add '6' to each side of the equation. -6 + 6 + 8w = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 8w = -30 + 6 8w = -30 + 6 Combine like terms: -30 + 6 = -24 8w = -24 Divide each side by '8'. w = -3 Simplifying w = -3
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