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Simplifying 5(2a + 6) + (3a + -1) = 2 Reorder the terms: 5(6 + 2a) + (3a + -1) = 2 (6 * 5 + 2a * 5) + (3a + -1) = 2 (30 + 10a) + (3a + -1) = 2 Reorder the terms: 30 + 10a + (-1 + 3a) = 2 Remove parenthesis around (-1 + 3a) 30 + 10a + -1 + 3a = 2 Reorder the terms: 30 + -1 + 10a + 3a = 2 Combine like terms: 30 + -1 = 29 29 + 10a + 3a = 2 Combine like terms: 10a + 3a = 13a 29 + 13a = 2 Solving 29 + 13a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 13a = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 13a = 2 + -29 13a = 2 + -29 Combine like terms: 2 + -29 = -27 13a = -27 Divide each side by '13'. a = -2.076923077 Simplifying a = -2.076923077
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