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Simplifying 3(4w + 1) = -45 Reorder the terms: 3(1 + 4w) = -45 (1 * 3 + 4w * 3) = -45 (3 + 12w) = -45 Solving 3 + 12w = -45 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12w = -45 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = -45 + -3 12w = -45 + -3 Combine like terms: -45 + -3 = -48 12w = -48 Divide each side by '12'. w = -4 Simplifying w = -4
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