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Simplifying 3(4w + 10) = -5 Reorder the terms: 3(10 + 4w) = -5 (10 * 3 + 4w * 3) = -5 (30 + 12w) = -5 Solving 30 + 12w = -5 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 = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 12w = -5 + -30 12w = -5 + -30 Combine like terms: -5 + -30 = -35 12w = -35 Divide each side by '12'. w = -2.916666667 Simplifying w = -2.916666667
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