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Simplifying (1 + 3w)(2) = 0 Reorder the terms for easier multiplication: 2(1 + 3w) = 0 (1 * 2 + 3w * 2) = 0 (2 + 6w) = 0 Solving 2 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = 0 + -2 6w = 0 + -2 Combine like terms: 0 + -2 = -2 6w = -2 Divide each side by '6'. w = -0.3333333333 Simplifying w = -0.3333333333
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