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Simplifying 3(4a + 8) = 7a + 19 Reorder the terms: 3(8 + 4a) = 7a + 19 (8 * 3 + 4a * 3) = 7a + 19 (24 + 12a) = 7a + 19 Reorder the terms: 24 + 12a = 19 + 7a Solving 24 + 12a = 19 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 24 + 12a + -7a = 19 + 7a + -7a Combine like terms: 12a + -7a = 5a 24 + 5a = 19 + 7a + -7a Combine like terms: 7a + -7a = 0 24 + 5a = 19 + 0 24 + 5a = 19 Add '-24' to each side of the equation. 24 + -24 + 5a = 19 + -24 Combine like terms: 24 + -24 = 0 0 + 5a = 19 + -24 5a = 19 + -24 Combine like terms: 19 + -24 = -5 5a = -5 Divide each side by '5'. a = -1 Simplifying a = -1
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