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Simplifying 3w + 5(w + -6) = -14 Reorder the terms: 3w + 5(-6 + w) = -14 3w + (-6 * 5 + w * 5) = -14 3w + (-30 + 5w) = -14 Reorder the terms: -30 + 3w + 5w = -14 Combine like terms: 3w + 5w = 8w -30 + 8w = -14 Solving -30 + 8w = -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 + 8w = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 8w = -14 + 30 8w = -14 + 30 Combine like terms: -14 + 30 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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