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Simplifying 3(2w + -1) + -4w = 27 Reorder the terms: 3(-1 + 2w) + -4w = 27 (-1 * 3 + 2w * 3) + -4w = 27 (-3 + 6w) + -4w = 27 Combine like terms: 6w + -4w = 2w -3 + 2w = 27 Solving -3 + 2w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2w = 27 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 27 + 3 2w = 27 + 3 Combine like terms: 27 + 3 = 30 2w = 30 Divide each side by '2'. w = 15 Simplifying w = 15
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