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Simplifying -8(-5w + 1) = 32 Reorder the terms: -8(1 + -5w) = 32 (1 * -8 + -5w * -8) = 32 (-8 + 40w) = 32 Solving -8 + 40w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 40w = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 40w = 32 + 8 40w = 32 + 8 Combine like terms: 32 + 8 = 40 40w = 40 Divide each side by '40'. w = 1 Simplifying w = 1
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