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Simplifying 2(3w + -5) + 2(w) = 150 Reorder the terms: 2(-5 + 3w) + 2(w) = 150 (-5 * 2 + 3w * 2) + 2(w) = 150 (-10 + 6w) + 2(w) = 150 Combine like terms: 6w + 2w = 8w -10 + 8w = 150 Solving -10 + 8w = 150 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 + 8w = 150 + 10 Combine like terms: -10 + 10 = 0 0 + 8w = 150 + 10 8w = 150 + 10 Combine like terms: 150 + 10 = 160 8w = 160 Divide each side by '8'. w = 20 Simplifying w = 20
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