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Simplifying 8 + -4(2w + 1) = 8w + -4(8 + w) Reorder the terms: 8 + -4(1 + 2w) = 8w + -4(8 + w) 8 + (1 * -4 + 2w * -4) = 8w + -4(8 + w) 8 + (-4 + -8w) = 8w + -4(8 + w) Combine like terms: 8 + -4 = 4 4 + -8w = 8w + -4(8 + w) 4 + -8w = 8w + (8 * -4 + w * -4) 4 + -8w = 8w + (-32 + -4w) Reorder the terms: 4 + -8w = -32 + 8w + -4w Combine like terms: 8w + -4w = 4w 4 + -8w = -32 + 4w Solving 4 + -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. 4 + -8w + -4w = -32 + 4w + -4w Combine like terms: -8w + -4w = -12w 4 + -12w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -12w = -32 + 0 4 + -12w = -32 Add '-4' to each side of the equation. 4 + -4 + -12w = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -12w = -32 + -4 -12w = -32 + -4 Combine like terms: -32 + -4 = -36 -12w = -36 Divide each side by '-12'. w = 3 Simplifying w = 3
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