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Simplifying 24 + 7a = -6(-3a + 7) Reorder the terms: 24 + 7a = -6(7 + -3a) 24 + 7a = (7 * -6 + -3a * -6) 24 + 7a = (-42 + 18a) Solving 24 + 7a = -42 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 24 + 7a + -18a = -42 + 18a + -18a Combine like terms: 7a + -18a = -11a 24 + -11a = -42 + 18a + -18a Combine like terms: 18a + -18a = 0 24 + -11a = -42 + 0 24 + -11a = -42 Add '-24' to each side of the equation. 24 + -24 + -11a = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -11a = -42 + -24 -11a = -42 + -24 Combine like terms: -42 + -24 = -66 -11a = -66 Divide each side by '-11'. a = 6 Simplifying a = 6
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