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