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Simplifying 4(3w + -7) = 32 Reorder the terms: 4(-7 + 3w) = 32 (-7 * 4 + 3w * 4) = 32 (-28 + 12w) = 32 Solving -28 + 12w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 12w = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 12w = 32 + 28 12w = 32 + 28 Combine like terms: 32 + 28 = 60 12w = 60 Divide each side by '12'. w = 5 Simplifying w = 5
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