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Simplifying (4a + -5) + -1(5a + 3) = 0 Reorder the terms: (-5 + 4a) + -1(5a + 3) = 0 Remove parenthesis around (-5 + 4a) -5 + 4a + -1(5a + 3) = 0 Reorder the terms: -5 + 4a + -1(3 + 5a) = 0 -5 + 4a + (3 * -1 + 5a * -1) = 0 -5 + 4a + (-3 + -5a) = 0 Reorder the terms: -5 + -3 + 4a + -5a = 0 Combine like terms: -5 + -3 = -8 -8 + 4a + -5a = 0 Combine like terms: 4a + -5a = -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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