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Simplifying 3w + 6(w + -5) = -12 Reorder the terms: 3w + 6(-5 + w) = -12 3w + (-5 * 6 + w * 6) = -12 3w + (-30 + 6w) = -12 Reorder the terms: -30 + 3w + 6w = -12 Combine like terms: 3w + 6w = 9w -30 + 9w = -12 Solving -30 + 9w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 9w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 9w = -12 + 30 9w = -12 + 30 Combine like terms: -12 + 30 = 18 9w = 18 Divide each side by '9'. w = 2 Simplifying w = 2
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