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Simplifying (3a + -5) + -1(2a + 1) = 0 Reorder the terms: (-5 + 3a) + -1(2a + 1) = 0 Remove parenthesis around (-5 + 3a) -5 + 3a + -1(2a + 1) = 0 Reorder the terms: -5 + 3a + -1(1 + 2a) = 0 -5 + 3a + (1 * -1 + 2a * -1) = 0 -5 + 3a + (-1 + -2a) = 0 Reorder the terms: -5 + -1 + 3a + -2a = 0 Combine like terms: -5 + -1 = -6 -6 + 3a + -2a = 0 Combine like terms: 3a + -2a = 1a -6 + 1a = 0 Solving -6 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1a = 0 + 6 1a = 0 + 6 Combine like terms: 0 + 6 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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