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Simplifying 4a + 24 = -3(a + 6) Reorder the terms: 24 + 4a = -3(a + 6) Reorder the terms: 24 + 4a = -3(6 + a) 24 + 4a = (6 * -3 + a * -3) 24 + 4a = (-18 + -3a) Solving 24 + 4a = -18 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 24 + 4a + 3a = -18 + -3a + 3a Combine like terms: 4a + 3a = 7a 24 + 7a = -18 + -3a + 3a Combine like terms: -3a + 3a = 0 24 + 7a = -18 + 0 24 + 7a = -18 Add '-24' to each side of the equation. 24 + -24 + 7a = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 7a = -18 + -24 7a = -18 + -24 Combine like terms: -18 + -24 = -42 7a = -42 Divide each side by '7'. a = -6 Simplifying a = -6
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