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Simplifying 21 = 49 + -4(5 + -1w) 21 = 49 + (5 * -4 + -1w * -4) 21 = 49 + (-20 + 4w) Combine like terms: 49 + -20 = 29 21 = 29 + 4w Solving 21 = 29 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 21 + -4w = 29 + 4w + -4w Combine like terms: 4w + -4w = 0 21 + -4w = 29 + 0 21 + -4w = 29 Add '-21' to each side of the equation. 21 + -21 + -4w = 29 + -21 Combine like terms: 21 + -21 = 0 0 + -4w = 29 + -21 -4w = 29 + -21 Combine like terms: 29 + -21 = 8 -4w = 8 Divide each side by '-4'. w = -2 Simplifying w = -2
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