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Simplifying 5(3w + -2) = -55 Reorder the terms: 5(-2 + 3w) = -55 (-2 * 5 + 3w * 5) = -55 (-10 + 15w) = -55 Solving -10 + 15w = -55 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 15w = -55 + 10 Combine like terms: -10 + 10 = 0 0 + 15w = -55 + 10 15w = -55 + 10 Combine like terms: -55 + 10 = -45 15w = -45 Divide each side by '15'. w = -3 Simplifying w = -3
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