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Simplifying 2w + 2(3w + -1) = 30 Reorder the terms: 2w + 2(-1 + 3w) = 30 2w + (-1 * 2 + 3w * 2) = 30 2w + (-2 + 6w) = 30 Reorder the terms: -2 + 2w + 6w = 30 Combine like terms: 2w + 6w = 8w -2 + 8w = 30 Solving -2 + 8w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8w = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 8w = 30 + 2 8w = 30 + 2 Combine like terms: 30 + 2 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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