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Simplifying 3 + -1w = 3w + -21 Reorder the terms: 3 + -1w = -21 + 3w Solving 3 + -1w = -21 + 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. 3 + -1w + -3w = -21 + 3w + -3w Combine like terms: -1w + -3w = -4w 3 + -4w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 3 + -4w = -21 + 0 3 + -4w = -21 Add '-3' to each side of the equation. 3 + -3 + -4w = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = -21 + -3 -4w = -21 + -3 Combine like terms: -21 + -3 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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