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Simplifying 21 = -6w + 3(w + 8) Reorder the terms: 21 = -6w + 3(8 + w) 21 = -6w + (8 * 3 + w * 3) 21 = -6w + (24 + 3w) Reorder the terms: 21 = 24 + -6w + 3w Combine like terms: -6w + 3w = -3w 21 = 24 + -3w Solving 21 = 24 + -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 + 3w = 24 + -3w + 3w Combine like terms: -3w + 3w = 0 21 + 3w = 24 + 0 21 + 3w = 24 Add '-21' to each side of the equation. 21 + -21 + 3w = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3w = 24 + -21 3w = 24 + -21 Combine like terms: 24 + -21 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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