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Simplifying 5a + -4 + 6(a + 1) = -1(-4a + 7) Reorder the terms: 5a + -4 + 6(1 + a) = -1(-4a + 7) 5a + -4 + (1 * 6 + a * 6) = -1(-4a + 7) 5a + -4 + (6 + 6a) = -1(-4a + 7) Reorder the terms: -4 + 6 + 5a + 6a = -1(-4a + 7) Combine like terms: -4 + 6 = 2 2 + 5a + 6a = -1(-4a + 7) Combine like terms: 5a + 6a = 11a 2 + 11a = -1(-4a + 7) Reorder the terms: 2 + 11a = -1(7 + -4a) 2 + 11a = (7 * -1 + -4a * -1) 2 + 11a = (-7 + 4a) Solving 2 + 11a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + 11a + -4a = -7 + 4a + -4a Combine like terms: 11a + -4a = 7a 2 + 7a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + 7a = -7 + 0 2 + 7a = -7 Add '-2' to each side of the equation. 2 + -2 + 7a = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = -7 + -2 7a = -7 + -2 Combine like terms: -7 + -2 = -9 7a = -9 Divide each side by '7'. a = -1.285714286 Simplifying a = -1.285714286
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