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Simplifying 6(w + -7) = 12 Reorder the terms: 6(-7 + w) = 12 (-7 * 6 + w * 6) = 12 (-42 + 6w) = 12 Solving -42 + 6w = 12 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 + 6w = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 6w = 12 + 42 6w = 12 + 42 Combine like terms: 12 + 42 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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