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Simplifying 14 + 2(4w + -3) = 40 Reorder the terms: 14 + 2(-3 + 4w) = 40 14 + (-3 * 2 + 4w * 2) = 40 14 + (-6 + 8w) = 40 Combine like terms: 14 + -6 = 8 8 + 8w = 40 Solving 8 + 8w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8w = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 40 + -8 8w = 40 + -8 Combine like terms: 40 + -8 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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