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Simplifying 7(w + -2) = 42 Reorder the terms: 7(-2 + w) = 42 (-2 * 7 + w * 7) = 42 (-14 + 7w) = 42 Solving -14 + 7w = 42 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 + 7w = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 7w = 42 + 14 7w = 42 + 14 Combine like terms: 42 + 14 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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