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Simplifying 9 + -1(3a + 5) = 7 + -5a Reorder the terms: 9 + -1(5 + 3a) = 7 + -5a 9 + (5 * -1 + 3a * -1) = 7 + -5a 9 + (-5 + -3a) = 7 + -5a Combine like terms: 9 + -5 = 4 4 + -3a = 7 + -5a Solving 4 + -3a = 7 + -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. 4 + -3a + 5a = 7 + -5a + 5a Combine like terms: -3a + 5a = 2a 4 + 2a = 7 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 2a = 7 + 0 4 + 2a = 7 Add '-4' to each side of the equation. 4 + -4 + 2a = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 7 + -4 2a = 7 + -4 Combine like terms: 7 + -4 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5
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