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Simplifying -8(w + -6) = 32 Reorder the terms: -8(-6 + w) = 32 (-6 * -8 + w * -8) = 32 (48 + -8w) = 32 Solving 48 + -8w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -8w = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -8w = 32 + -48 -8w = 32 + -48 Combine like terms: 32 + -48 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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