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Simplifying 5(a + 4) + -4(a + 3) = 0 Reorder the terms: 5(4 + a) + -4(a + 3) = 0 (4 * 5 + a * 5) + -4(a + 3) = 0 (20 + 5a) + -4(a + 3) = 0 Reorder the terms: 20 + 5a + -4(3 + a) = 0 20 + 5a + (3 * -4 + a * -4) = 0 20 + 5a + (-12 + -4a) = 0 Reorder the terms: 20 + -12 + 5a + -4a = 0 Combine like terms: 20 + -12 = 8 8 + 5a + -4a = 0 Combine like terms: 5a + -4a = 1a 8 + 1a = 0 Solving 8 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 0 + -8 1a = 0 + -8 Combine like terms: 0 + -8 = -8 1a = -8 Divide each side by '1'. a = -8 Simplifying a = -8
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