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Simplifying 3(4w + -2) + 2 = 40 Reorder the terms: 3(-2 + 4w) + 2 = 40 (-2 * 3 + 4w * 3) + 2 = 40 (-6 + 12w) + 2 = 40 Reorder the terms: -6 + 2 + 12w = 40 Combine like terms: -6 + 2 = -4 -4 + 12w = 40 Solving -4 + 12w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12w = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = 40 + 4 12w = 40 + 4 Combine like terms: 40 + 4 = 44 12w = 44 Divide each side by '12'. w = 3.666666667 Simplifying w = 3.666666667
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