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Simplifying (6 + -3w)(-7) = 0 Reorder the terms for easier multiplication: -7(6 + -3w) = 0 (6 * -7 + -3w * -7) = 0 (-42 + 21w) = 0 Solving -42 + 21w = 0 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 + 21w = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 21w = 0 + 42 21w = 0 + 42 Combine like terms: 0 + 42 = 42 21w = 42 Divide each side by '21'. w = 2 Simplifying w = 2
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