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Simplifying 3(4w + -2) + 2w = 40 Reorder the terms: 3(-2 + 4w) + 2w = 40 (-2 * 3 + 4w * 3) + 2w = 40 (-6 + 12w) + 2w = 40 Combine like terms: 12w + 2w = 14w -6 + 14w = 40 Solving -6 + 14w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 14w = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 14w = 40 + 6 14w = 40 + 6 Combine like terms: 40 + 6 = 46 14w = 46 Divide each side by '14'. w = 3.285714286 Simplifying w = 3.285714286
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