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Simplifying (3a + -2) + -2a + -1(5 + -2a) = 0 Reorder the terms: (-2 + 3a) + -2a + -1(5 + -2a) = 0 Remove parenthesis around (-2 + 3a) -2 + 3a + -2a + -1(5 + -2a) = 0 -2 + 3a + -2a + (5 * -1 + -2a * -1) = 0 -2 + 3a + -2a + (-5 + 2a) = 0 Reorder the terms: -2 + -5 + 3a + -2a + 2a = 0 Combine like terms: -2 + -5 = -7 -7 + 3a + -2a + 2a = 0 Combine like terms: 3a + -2a = 1a -7 + 1a + 2a = 0 Combine like terms: 1a + 2a = 3a -7 + 3a = 0 Solving -7 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 0 + 7 3a = 0 + 7 Combine like terms: 0 + 7 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333
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