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Simplifying 4w + -21 = 3w + 6 Reorder the terms: -21 + 4w = 3w + 6 Reorder the terms: -21 + 4w = 6 + 3w Solving -21 + 4w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -21 + 4w + -3w = 6 + 3w + -3w Combine like terms: 4w + -3w = 1w -21 + 1w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + 1w = 6 + 0 -21 + 1w = 6 Add '21' to each side of the equation. -21 + 21 + 1w = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 1w = 6 + 21 1w = 6 + 21 Combine like terms: 6 + 21 = 27 1w = 27 Divide each side by '1'. w = 27 Simplifying w = 27
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