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Simplifying 5(3a + 1) + -2(a + 1) = 7 Reorder the terms: 5(1 + 3a) + -2(a + 1) = 7 (1 * 5 + 3a * 5) + -2(a + 1) = 7 (5 + 15a) + -2(a + 1) = 7 Reorder the terms: 5 + 15a + -2(1 + a) = 7 5 + 15a + (1 * -2 + a * -2) = 7 5 + 15a + (-2 + -2a) = 7 Reorder the terms: 5 + -2 + 15a + -2a = 7 Combine like terms: 5 + -2 = 3 3 + 15a + -2a = 7 Combine like terms: 15a + -2a = 13a 3 + 13a = 7 Solving 3 + 13a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 13a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 13a = 7 + -3 13a = 7 + -3 Combine like terms: 7 + -3 = 4 13a = 4 Divide each side by '13'. a = 0.3076923077 Simplifying a = 0.3076923077
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