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Simplifying 8(w + 4) = 2w + 8 Reorder the terms: 8(4 + w) = 2w + 8 (4 * 8 + w * 8) = 2w + 8 (32 + 8w) = 2w + 8 Reorder the terms: 32 + 8w = 8 + 2w Solving 32 + 8w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 32 + 8w + -2w = 8 + 2w + -2w Combine like terms: 8w + -2w = 6w 32 + 6w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 32 + 6w = 8 + 0 32 + 6w = 8 Add '-32' to each side of the equation. 32 + -32 + 6w = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 6w = 8 + -32 6w = 8 + -32 Combine like terms: 8 + -32 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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