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Simplifying 21 = 1 + -4(w + -2) Reorder the terms: 21 = 1 + -4(-2 + w) 21 = 1 + (-2 * -4 + w * -4) 21 = 1 + (8 + -4w) Combine like terms: 1 + 8 = 9 21 = 9 + -4w Solving 21 = 9 + -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 = 9 + -4w + 4w Combine like terms: -4w + 4w = 0 21 + 4w = 9 + 0 21 + 4w = 9 Add '-21' to each side of the equation. 21 + -21 + 4w = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = 9 + -21 4w = 9 + -21 Combine like terms: 9 + -21 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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