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Simplifying 2(3w + -7) = 34 Reorder the terms: 2(-7 + 3w) = 34 (-7 * 2 + 3w * 2) = 34 (-14 + 6w) = 34 Solving -14 + 6w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6w = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 6w = 34 + 14 6w = 34 + 14 Combine like terms: 34 + 14 = 48 6w = 48 Divide each side by '6'. w = 8 Simplifying w = 8
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