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Simplifying -6(1 + 3a) + 7 = 7a + -3(9a + 9) (1 * -6 + 3a * -6) + 7 = 7a + -3(9a + 9) (-6 + -18a) + 7 = 7a + -3(9a + 9) Reorder the terms: -6 + 7 + -18a = 7a + -3(9a + 9) Combine like terms: -6 + 7 = 1 1 + -18a = 7a + -3(9a + 9) Reorder the terms: 1 + -18a = 7a + -3(9 + 9a) 1 + -18a = 7a + (9 * -3 + 9a * -3) 1 + -18a = 7a + (-27 + -27a) Reorder the terms: 1 + -18a = -27 + 7a + -27a Combine like terms: 7a + -27a = -20a 1 + -18a = -27 + -20a Solving 1 + -18a = -27 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 1 + -18a + 20a = -27 + -20a + 20a Combine like terms: -18a + 20a = 2a 1 + 2a = -27 + -20a + 20a Combine like terms: -20a + 20a = 0 1 + 2a = -27 + 0 1 + 2a = -27 Add '-1' to each side of the equation. 1 + -1 + 2a = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 2a = -27 + -1 2a = -27 + -1 Combine like terms: -27 + -1 = -28 2a = -28 Divide each side by '2'. a = -14 Simplifying a = -14
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