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Simplifying 3w + -3(4w + 8) = 21 Reorder the terms: 3w + -3(8 + 4w) = 21 3w + (8 * -3 + 4w * -3) = 21 3w + (-24 + -12w) = 21 Reorder the terms: -24 + 3w + -12w = 21 Combine like terms: 3w + -12w = -9w -24 + -9w = 21 Solving -24 + -9w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -9w = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -9w = 21 + 24 -9w = 21 + 24 Combine like terms: 21 + 24 = 45 -9w = 45 Divide each side by '-9'. w = -5 Simplifying w = -5
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