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Simplifying 2 + 4(7 + 3w) = -14 2 + (7 * 4 + 3w * 4) = -14 2 + (28 + 12w) = -14 Combine like terms: 2 + 28 = 30 30 + 12w = -14 Solving 30 + 12w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12w = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 12w = -14 + -30 12w = -14 + -30 Combine like terms: -14 + -30 = -44 12w = -44 Divide each side by '12'. w = -3.666666667 Simplifying w = -3.666666667
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