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Simplifying (41 + -7)(3a + 8) = 0 Combine like terms: 41 + -7 = 34 (34)(3a + 8) = 0 Reorder the terms: 34(8 + 3a) = 0 (8 * 34 + 3a * 34) = 0 (272 + 102a) = 0 Solving 272 + 102a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-272' to each side of the equation. 272 + -272 + 102a = 0 + -272 Combine like terms: 272 + -272 = 0 0 + 102a = 0 + -272 102a = 0 + -272 Combine like terms: 0 + -272 = -272 102a = -272 Divide each side by '102'. a = -2.666666667 Simplifying a = -2.666666667
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