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Simplifying (a + -2) + -3(2a + -1) = 13 Reorder the terms: (-2 + a) + -3(2a + -1) = 13 Remove parenthesis around (-2 + a) -2 + a + -3(2a + -1) = 13 Reorder the terms: -2 + a + -3(-1 + 2a) = 13 -2 + a + (-1 * -3 + 2a * -3) = 13 -2 + a + (3 + -6a) = 13 Reorder the terms: -2 + 3 + a + -6a = 13 Combine like terms: -2 + 3 = 1 1 + a + -6a = 13 Combine like terms: a + -6a = -5a 1 + -5a = 13 Solving 1 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5a = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 13 + -1 -5a = 13 + -1 Combine like terms: 13 + -1 = 12 -5a = 12 Divide each side by '-5'. a = -2.4 Simplifying a = -2.4
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