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Simplifying 3 + 3(7 + -1a) = -3(8a + 6) + 7a 3 + (7 * 3 + -1a * 3) = -3(8a + 6) + 7a 3 + (21 + -3a) = -3(8a + 6) + 7a Combine like terms: 3 + 21 = 24 24 + -3a = -3(8a + 6) + 7a Reorder the terms: 24 + -3a = -3(6 + 8a) + 7a 24 + -3a = (6 * -3 + 8a * -3) + 7a 24 + -3a = (-18 + -24a) + 7a Combine like terms: -24a + 7a = -17a 24 + -3a = -18 + -17a Solving 24 + -3a = -18 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. 24 + -3a + 17a = -18 + -17a + 17a Combine like terms: -3a + 17a = 14a 24 + 14a = -18 + -17a + 17a Combine like terms: -17a + 17a = 0 24 + 14a = -18 + 0 24 + 14a = -18 Add '-24' to each side of the equation. 24 + -24 + 14a = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 14a = -18 + -24 14a = -18 + -24 Combine like terms: -18 + -24 = -42 14a = -42 Divide each side by '14'. a = -3 Simplifying a = -3
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