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Simplifying -8z(w + -6) = 32 Reorder the terms: -8z(-6 + w) = 32 (-6 * -8z + w * -8z) = 32 Reorder the terms: (-8wz + 48z) = 32 (-8wz + 48z) = 32 Solving -8wz + 48z = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48z' to each side of the equation. -8wz + 48z + -48z = 32 + -48z Combine like terms: 48z + -48z = 0 -8wz + 0 = 32 + -48z -8wz = 32 + -48z Divide each side by '-8z'. w = -4z-1 + 6 Simplifying w = -4z-1 + 6 Reorder the terms: w = 6 + -4z-1
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