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Simplifying -8(w + 1) = 4w + -32 Reorder the terms: -8(1 + w) = 4w + -32 (1 * -8 + w * -8) = 4w + -32 (-8 + -8w) = 4w + -32 Reorder the terms: -8 + -8w = -32 + 4w Solving -8 + -8w = -32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + -8w + -4w = -32 + 4w + -4w Combine like terms: -8w + -4w = -12w -8 + -12w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + -12w = -32 + 0 -8 + -12w = -32 Add '8' to each side of the equation. -8 + 8 + -12w = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -12w = -32 + 8 -12w = -32 + 8 Combine like terms: -32 + 8 = -24 -12w = -24 Divide each side by '-12'. w = 2 Simplifying w = 2
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