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Simplifying -6(3w + 8) = 12 Reorder the terms: -6(8 + 3w) = 12 (8 * -6 + 3w * -6) = 12 (-48 + -18w) = 12 Solving -48 + -18w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -18w = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -18w = 12 + 48 -18w = 12 + 48 Combine like terms: 12 + 48 = 60 -18w = 60 Divide each side by '-18'. w = -3.333333333 Simplifying w = -3.333333333
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