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Simplifying 2a(9 + -5) + 4(9 + -5) = 0 Combine like terms: 9 + -5 = 4 2a(4) + 4(9 + -5) = 0 Reorder the terms for easier multiplication: 2 * 4a + 4(9 + -5) = 0 Multiply 2 * 4 8a + 4(9 + -5) = 0 Combine like terms: 9 + -5 = 4 8a + 4(4) = 0 Multiply 4 * 4 8a + 16 = 0 Reorder the terms: 16 + 8a = 0 Solving 16 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8a = 0 + -16 8a = 0 + -16 Combine like terms: 0 + -16 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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