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Simplifying -4(2w + -8) = 4 + -12w Reorder the terms: -4(-8 + 2w) = 4 + -12w (-8 * -4 + 2w * -4) = 4 + -12w (32 + -8w) = 4 + -12w Solving 32 + -8w = 4 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 32 + -8w + 12w = 4 + -12w + 12w Combine like terms: -8w + 12w = 4w 32 + 4w = 4 + -12w + 12w Combine like terms: -12w + 12w = 0 32 + 4w = 4 + 0 32 + 4w = 4 Add '-32' to each side of the equation. 32 + -32 + 4w = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 4w = 4 + -32 4w = 4 + -32 Combine like terms: 4 + -32 = -28 4w = -28 Divide each side by '4'. w = -7 Simplifying w = -7
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