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Simplifying 8(2 + w) = 7(7 + w) (2 * 8 + w * 8) = 7(7 + w) (16 + 8w) = 7(7 + w) 16 + 8w = (7 * 7 + w * 7) 16 + 8w = (49 + 7w) Solving 16 + 8w = 49 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 16 + 8w + -7w = 49 + 7w + -7w Combine like terms: 8w + -7w = 1w 16 + 1w = 49 + 7w + -7w Combine like terms: 7w + -7w = 0 16 + 1w = 49 + 0 16 + 1w = 49 Add '-16' to each side of the equation. 16 + -16 + 1w = 49 + -16 Combine like terms: 16 + -16 = 0 0 + 1w = 49 + -16 1w = 49 + -16 Combine like terms: 49 + -16 = 33 1w = 33 Divide each side by '1'. w = 33 Simplifying w = 33
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