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Simplifying 3a + 4(a + 1) = -24 Reorder the terms: 3a + 4(1 + a) = -24 3a + (1 * 4 + a * 4) = -24 3a + (4 + 4a) = -24 Reorder the terms: 4 + 3a + 4a = -24 Combine like terms: 3a + 4a = 7a 4 + 7a = -24 Solving 4 + 7a = -24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7a = -24 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = -24 + -4 7a = -24 + -4 Combine like terms: -24 + -4 = -28 7a = -28 Divide each side by '7'. a = -4 Simplifying a = -4
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