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Simplifying 14 + -1w = 3w + -21 Reorder the terms: 14 + -1w = -21 + 3w Solving 14 + -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. 14 + -1w + -3w = -21 + 3w + -3w Combine like terms: -1w + -3w = -4w 14 + -4w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -4w = -21 + 0 14 + -4w = -21 Add '-14' to each side of the equation. 14 + -14 + -4w = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -4w = -21 + -14 -4w = -21 + -14 Combine like terms: -21 + -14 = -35 -4w = -35 Divide each side by '-4'. w = 8.75 Simplifying w = 8.75
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