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Simplifying 4(3w + -1) = 32 Reorder the terms: 4(-1 + 3w) = 32 (-1 * 4 + 3w * 4) = 32 (-4 + 12w) = 32 Solving -4 + 12w = 32 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 + 12w = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = 32 + 4 12w = 32 + 4 Combine like terms: 32 + 4 = 36 12w = 36 Divide each side by '12'. w = 3 Simplifying w = 3
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