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Simplifying 7(3a + 1) + -19a = -9 Reorder the terms: 7(1 + 3a) + -19a = -9 (1 * 7 + 3a * 7) + -19a = -9 (7 + 21a) + -19a = -9 Combine like terms: 21a + -19a = 2a 7 + 2a = -9 Solving 7 + 2a = -9 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 + 2a = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = -9 + -7 2a = -9 + -7 Combine like terms: -9 + -7 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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