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Simplifying 3w + 6 = -1w + 30 Reorder the terms: 6 + 3w = -1w + 30 Reorder the terms: 6 + 3w = 30 + -1w Solving 6 + 3w = 30 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 6 + 3w + w = 30 + -1w + w Combine like terms: 3w + w = 4w 6 + 4w = 30 + -1w + w Combine like terms: -1w + w = 0 6 + 4w = 30 + 0 6 + 4w = 30 Add '-6' to each side of the equation. 6 + -6 + 4w = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4w = 30 + -6 4w = 30 + -6 Combine like terms: 30 + -6 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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