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Simplifying 7(w + -6) = 42 Reorder the terms: 7(-6 + w) = 42 (-6 * 7 + w * 7) = 42 (-42 + 7w) = 42 Solving -42 + 7w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7w = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 7w = 42 + 42 7w = 42 + 42 Combine like terms: 42 + 42 = 84 7w = 84 Divide each side by '7'. w = 12 Simplifying w = 12
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