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Simplifying 4(2w + 1) + -6 = 0 Reorder the terms: 4(1 + 2w) + -6 = 0 (1 * 4 + 2w * 4) + -6 = 0 (4 + 8w) + -6 = 0 Reorder the terms: 4 + -6 + 8w = 0 Combine like terms: 4 + -6 = -2 -2 + 8w = 0 Solving -2 + 8w = 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 + 8w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8w = 0 + 2 8w = 0 + 2 Combine like terms: 0 + 2 = 2 8w = 2 Divide each side by '8'. w = 0.25 Simplifying w = 0.25
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