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Simplifying (2a + -3) + -1(a + -5) = 0 Reorder the terms: (-3 + 2a) + -1(a + -5) = 0 Remove parenthesis around (-3 + 2a) -3 + 2a + -1(a + -5) = 0 Reorder the terms: -3 + 2a + -1(-5 + a) = 0 -3 + 2a + (-5 * -1 + a * -1) = 0 -3 + 2a + (5 + -1a) = 0 Reorder the terms: -3 + 5 + 2a + -1a = 0 Combine like terms: -3 + 5 = 2 2 + 2a + -1a = 0 Combine like terms: 2a + -1a = 1a 2 + 1a = 0 Solving 2 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1a = 0 + -2 1a = 0 + -2 Combine like terms: 0 + -2 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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