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Simplifying (4a + 5) = -1(3a + -7) Reorder the terms: (5 + 4a) = -1(3a + -7) Remove parenthesis around (5 + 4a) 5 + 4a = -1(3a + -7) Reorder the terms: 5 + 4a = -1(-7 + 3a) 5 + 4a = (-7 * -1 + 3a * -1) 5 + 4a = (7 + -3a) Solving 5 + 4a = 7 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5 + 4a + 3a = 7 + -3a + 3a Combine like terms: 4a + 3a = 7a 5 + 7a = 7 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 7a = 7 + 0 5 + 7a = 7 Add '-5' to each side of the equation. 5 + -5 + 7a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 7 + -5 7a = 7 + -5 Combine like terms: 7 + -5 = 2 7a = 2 Divide each side by '7'. a = 0.2857142857 Simplifying a = 0.2857142857
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