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Simplifying 2(3w + -1) + 2(4w + 5) = 8 Reorder the terms: 2(-1 + 3w) + 2(4w + 5) = 8 (-1 * 2 + 3w * 2) + 2(4w + 5) = 8 (-2 + 6w) + 2(4w + 5) = 8 Reorder the terms: -2 + 6w + 2(5 + 4w) = 8 -2 + 6w + (5 * 2 + 4w * 2) = 8 -2 + 6w + (10 + 8w) = 8 Reorder the terms: -2 + 10 + 6w + 8w = 8 Combine like terms: -2 + 10 = 8 8 + 6w + 8w = 8 Combine like terms: 6w + 8w = 14w 8 + 14w = 8 Add '-8' to each side of the equation. 8 + -8 + 14w = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 14w = 8 + -8 14w = 8 + -8 Combine like terms: 8 + -8 = 0 14w = 0 Solving 14w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '14'. w = 0 Simplifying w = 0
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