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Simplifying 5(a + 6) + 4a + -7 = -1(2a + -2) Reorder the terms: 5(6 + a) + 4a + -7 = -1(2a + -2) (6 * 5 + a * 5) + 4a + -7 = -1(2a + -2) (30 + 5a) + 4a + -7 = -1(2a + -2) Reorder the terms: 30 + -7 + 5a + 4a = -1(2a + -2) Combine like terms: 30 + -7 = 23 23 + 5a + 4a = -1(2a + -2) Combine like terms: 5a + 4a = 9a 23 + 9a = -1(2a + -2) Reorder the terms: 23 + 9a = -1(-2 + 2a) 23 + 9a = (-2 * -1 + 2a * -1) 23 + 9a = (2 + -2a) Solving 23 + 9a = 2 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 23 + 9a + 2a = 2 + -2a + 2a Combine like terms: 9a + 2a = 11a 23 + 11a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 23 + 11a = 2 + 0 23 + 11a = 2 Add '-23' to each side of the equation. 23 + -23 + 11a = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 11a = 2 + -23 11a = 2 + -23 Combine like terms: 2 + -23 = -21 11a = -21 Divide each side by '11'. a = -1.909090909 Simplifying a = -1.909090909
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