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Simplifying 9(7 + 2) = 8(8 + w) Combine like terms: 7 + 2 = 9 9(9) = 8(8 + w) Multiply 9 * 9 81 = 8(8 + w) 81 = (8 * 8 + w * 8) 81 = (64 + 8w) Solving 81 = 64 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 81 + -8w = 64 + 8w + -8w Combine like terms: 8w + -8w = 0 81 + -8w = 64 + 0 81 + -8w = 64 Add '-81' to each side of the equation. 81 + -81 + -8w = 64 + -81 Combine like terms: 81 + -81 = 0 0 + -8w = 64 + -81 -8w = 64 + -81 Combine like terms: 64 + -81 = -17 -8w = -17 Divide each side by '-8'. w = 2.125 Simplifying w = 2.125
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