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Simplifying (6a + 7) = -1(5a + -5) Reorder the terms: (7 + 6a) = -1(5a + -5) Remove parenthesis around (7 + 6a) 7 + 6a = -1(5a + -5) Reorder the terms: 7 + 6a = -1(-5 + 5a) 7 + 6a = (-5 * -1 + 5a * -1) 7 + 6a = (5 + -5a) Solving 7 + 6a = 5 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 7 + 6a + 5a = 5 + -5a + 5a Combine like terms: 6a + 5a = 11a 7 + 11a = 5 + -5a + 5a Combine like terms: -5a + 5a = 0 7 + 11a = 5 + 0 7 + 11a = 5 Add '-7' to each side of the equation. 7 + -7 + 11a = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 11a = 5 + -7 11a = 5 + -7 Combine like terms: 5 + -7 = -2 11a = -2 Divide each side by '11'. a = -0.1818181818 Simplifying a = -0.1818181818
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