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Simplifying 8(w + 2) = 2w + 40 Reorder the terms: 8(2 + w) = 2w + 40 (2 * 8 + w * 8) = 2w + 40 (16 + 8w) = 2w + 40 Reorder the terms: 16 + 8w = 40 + 2w Solving 16 + 8w = 40 + 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. 16 + 8w + -2w = 40 + 2w + -2w Combine like terms: 8w + -2w = 6w 16 + 6w = 40 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + 6w = 40 + 0 16 + 6w = 40 Add '-16' to each side of the equation. 16 + -16 + 6w = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 6w = 40 + -16 6w = 40 + -16 Combine like terms: 40 + -16 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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