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Simplifying 2(3w + -7) = 15 Reorder the terms: 2(-7 + 3w) = 15 (-7 * 2 + 3w * 2) = 15 (-14 + 6w) = 15 Solving -14 + 6w = 15 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 = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 6w = 15 + 14 6w = 15 + 14 Combine like terms: 15 + 14 = 29 6w = 29 Divide each side by '6'. w = 4.833333333 Simplifying w = 4.833333333
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