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Simplifying 21 + -3(2 + -1w) = -12 21 + (2 * -3 + -1w * -3) = -12 21 + (-6 + 3w) = -12 Combine like terms: 21 + -6 = 15 15 + 3w = -12 Solving 15 + 3w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3w = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = -12 + -15 3w = -12 + -15 Combine like terms: -12 + -15 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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