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Simplifying 15(w + 2) + 3w = -6 Reorder the terms: 15(2 + w) + 3w = -6 (2 * 15 + w * 15) + 3w = -6 (30 + 15w) + 3w = -6 Combine like terms: 15w + 3w = 18w 30 + 18w = -6 Solving 30 + 18w = -6 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 + 18w = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 18w = -6 + -30 18w = -6 + -30 Combine like terms: -6 + -30 = -36 18w = -36 Divide each side by '18'. w = -2 Simplifying w = -2
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