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Simplifying (2a + -5) + -1(3a + 1) = 0 Reorder the terms: (-5 + 2a) + -1(3a + 1) = 0 Remove parenthesis around (-5 + 2a) -5 + 2a + -1(3a + 1) = 0 Reorder the terms: -5 + 2a + -1(1 + 3a) = 0 -5 + 2a + (1 * -1 + 3a * -1) = 0 -5 + 2a + (-1 + -3a) = 0 Reorder the terms: -5 + -1 + 2a + -3a = 0 Combine like terms: -5 + -1 = -6 -6 + 2a + -3a = 0 Combine like terms: 2a + -3a = -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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