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Simplifying 8(4 + -2a) + 7(4a + 7) = 0 (4 * 8 + -2a * 8) + 7(4a + 7) = 0 (32 + -16a) + 7(4a + 7) = 0 Reorder the terms: 32 + -16a + 7(7 + 4a) = 0 32 + -16a + (7 * 7 + 4a * 7) = 0 32 + -16a + (49 + 28a) = 0 Reorder the terms: 32 + 49 + -16a + 28a = 0 Combine like terms: 32 + 49 = 81 81 + -16a + 28a = 0 Combine like terms: -16a + 28a = 12a 81 + 12a = 0 Solving 81 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 12a = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 12a = 0 + -81 12a = 0 + -81 Combine like terms: 0 + -81 = -81 12a = -81 Divide each side by '12'. a = -6.75 Simplifying a = -6.75
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