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Simplifying 2(4w + -3) + 2 = 12 Reorder the terms: 2(-3 + 4w) + 2 = 12 (-3 * 2 + 4w * 2) + 2 = 12 (-6 + 8w) + 2 = 12 Reorder the terms: -6 + 2 + 8w = 12 Combine like terms: -6 + 2 = -4 -4 + 8w = 12 Solving -4 + 8w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8w = 12 + 4 8w = 12 + 4 Combine like terms: 12 + 4 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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